Table of Contents
Namespace:
Table 1. Element: Abstractness
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Abstractness" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 2. Element: Adjective
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model |
( %Term; )* | ||||||||||||||||||||||||||||
Attributes |
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Source |
<element name="Adjective" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="value"> <data type="boolean"/> </attribute> </optional> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="kind"> <value>V</value> </attribute> </optional> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Term"/> </zeroOrMore> </element> |
Table 3. Element: And
Documentation |
No documentation available. | ||||||||
Content Model |
( %Formula; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="And" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Formula"/> </zeroOrMore> </element> |
Table 4. Element: Antisymmetry
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Antisymmetry" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 5. Element: ArgTypes
Documentation |
No documentation available. |
Content Model |
( %Typ; )* |
Source |
<element name="ArgTypes" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> </element> |
Table 6. Element: Article
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %DefinitionBlock; | %RegistrationBlock; | %NotationBlock; | %Reservation; | %SchemeBlock; | %JustifiedTheorem; | %DefTheorem; | %Definiens; | %Canceled; | %Section; | %AuxiliaryItem; ) )* | ||||||||||||
Attributes |
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Source |
<element name="Article" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="aid"> <data type="string"/> </attribute> <optional> <attribute name="mizfiles"> <data type="string"/> </attribute> </optional> <zeroOrMore> <choice> <ref name="DefinitionBlock"/> <ref name="RegistrationBlock"/> <ref name="NotationBlock"/> <ref name="Reservation"/> <ref name="SchemeBlock"/> <ref name="JustifiedTheorem"/> <ref name="DefTheorem"/> <ref name="Definiens"/> <ref name="Canceled"/> <ref name="Section"/> <ref name="AuxiliaryItem"/> </choice> </zeroOrMore> </element> |
Table 7. Element: ArticleID
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
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Source |
<element name="ArticleID" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="name"> <data type="string"/> </attribute> </element> |
Table 8. Element: Associativity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Associativity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 9. Element: Assume
Documentation |
No documentation available. |
Content Model |
( %Proposition; )+ |
Source |
<element name="Assume" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <oneOrMore> <ref name="Proposition"/> </oneOrMore> </element> |
Table 10. Element: BlockThesis
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="BlockThesis" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Thesis"/> </zeroOrMore> <ref name="Formula"/> </element> |
Table 11. Element: By
Documentation |
No documentation available. | ||||||||||||||||
Content Model |
( %Ref; )* | ||||||||||||||||
Attributes |
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Source |
<element name="By" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <optional> <attribute name="linked"> <data type="boolean"/> </attribute> </optional> <zeroOrMore> <ref name="Ref"/> </zeroOrMore> </element> |
Table 12. Element: ByExplanations
Documentation |
No documentation available. | ||||||||
Content Model |
( %PolyEval; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="ByExplanations" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="aid"> <data type="string"/> </attribute> <zeroOrMore> <ref name="PolyEval"/> </zeroOrMore> </element> |
Table 13. Element: CCluster
Documentation |
No documentation available. | ||||||||||||
Content Model |
( %ErrorCluster; | ( %ArgTypes;, %Cluster;, %Typ;, %Cluster;, %Cluster; ? ) ) | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="CCluster" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <choice> <ref name="ErrorCluster"/> <group> <ref name="ArgTypes"/> <ref name="Cluster"/> <ref name="Typ"/> <ref name="Cluster"/> <optional> <ref name="Cluster"/> </optional> </group> </choice> </element> |
Table 14. Element: Canceled
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Canceled" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 15. Element: Case
Documentation |
No documentation available. |
Content Model |
( %Proposition; )+ |
Source |
<element name="Case" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <oneOrMore> <ref name="Proposition"/> </oneOrMore> </element> |
Table 16. Element: CaseBlock
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %BlockThesis; %Case; %Thesis; %Reasoning; ) | ( %Case; %Reasoning; %BlockThesis; ) ) | ||||||||||||
Attributes |
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Source |
<element name="CaseBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <choice> <group> <ref name="BlockThesis"/> <ref name="Case"/> <ref name="Thesis"/> <ref name="Reasoning"/> </group> <group> <ref name="Case"/> <ref name="Reasoning"/> <ref name="BlockThesis"/> </group> </choice> </element> |
Table 17. Element: Choice
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Choice" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Typ"/> </element> |
Table 18. Element: Cluster
Documentation |
No documentation available. |
Content Model |
( %Adjective; )* |
Source |
<element name="Cluster" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Adjective"/> </zeroOrMore> </element> |
Table 19. Element: Coherence
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="Coherence" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 20. Element: Commutativity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Commutativity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 21. Element: Compatibility
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="Compatibility" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 22. Element: ComplexNr
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="ComplexNr" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="RationalNr"/> <ref name="RationalNr"/> </element> |
Table 23. Element: Conclusion
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Conclusion" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="JustifiedProposition"/> </element> |
Table 24. Element: Connectedness
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Connectedness" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 25. Element: Consider
Documentation |
No documentation available. | ||||||||
Content Model |
%Proposition;, %Justification;, ( %Typ; )+ , ( %Proposition; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Consider" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <ref name="Proposition"/> <ref name="Justification"/> <oneOrMore> <ref name="Typ"/> </oneOrMore> <zeroOrMore> <ref name="Proposition"/> </zeroOrMore> </element> |
Table 26. Element: Consistency
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="Consistency" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 27. Element: Const
Documentation |
No documentation available. | ||||||||||||
Content Model |
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Attributes |
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Source |
<element name="Const" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> </element> |
Table 28. Element: ConstrCount
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
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Source |
<element name="ConstrCount" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 29. Element: ConstrCounts
Documentation |
No documentation available. | ||||||||
Content Model |
( ConstrCount )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="ConstrCounts" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="name"> <data type="string"/> </attribute> </optional> <zeroOrMore> <element name="ConstrCount"> <attribute name="kind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> |
Table 30. Element: ConstrDef
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="ConstrDef" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="constrkind"> <choice> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <optional> <ref name="Term"/> </optional> </element> |
Table 31. Element: Constructor
Documentation |
No documentation available. | ||||||||||||||||||||||||||||||||||||||||||||
Content Model |
%Properties; ? , %ArgTypes;, %StructLoci; ? , ( %Typ; )* , %Fields; ? | ||||||||||||||||||||||||||||||||||||||||||||
Attributes |
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Source |
<element name="Constructor" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> <optional> <attribute name="relnr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="redefnr"> <data type="integer"/> </attribute> <attribute name="superfluous"> <data type="integer"/> </attribute> <optional> <attribute name="absredefnr"> <data type="integer"/> </attribute> <attribute name="redefaid"> <data type="string"/> </attribute> </optional> </optional> <optional> <choice> <attribute name="structmodeaggrnr"> <data type="integer"/> </attribute> <attribute name="aggregbase"> <data type="integer"/> </attribute> </choice> </optional> <optional> <ref name="Properties"/> </optional> <ref name="ArgTypes"/> <optional> <ref name="StructLoci"/> </optional> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <optional> <ref name="Fields"/> </optional> </element> |
Table 32. Element: Constructors
Documentation |
No documentation available. | ||||||||
Content Model |
( SignatureWithCounts | ( %Signature; %ConstrCounts; ) ) ? , ( %Constructor; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Constructors" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <choice> <element name="SignatureWithCounts"> <zeroOrMore> <ref name="ConstrCounts"/> </zeroOrMore> </element> <group> <ref name="Signature"/> <ref name="ConstrCounts"/> </group> </choice> </optional> <zeroOrMore> <ref name="Constructor"/> </zeroOrMore> </element> |
Table 33. Element: Correctness
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Correctness" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="CorrectnessCondition"/> </zeroOrMore> <ref name="Proposition"/> <ref name="Justification"/> </element> |
Table 34. Element: DefFunc
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
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Source |
<element name="DefFunc" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="ArgTypes"/> <ref name="Term"/> <ref name="Typ"/> </element> |
Table 35. Element: DefMeaning
Documentation |
No documentation available. | ||||||||
Content Model |
( PartialDef )* , ( %Formula; | %Term; ) ? | ||||||||
Attributes |
| ||||||||
Source |
<element name="DefMeaning" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>e</value> <value>m</value> </choice> </attribute> <zeroOrMore> <element name="PartialDef"> <choice> <ref name="Formula"/> <ref name="Term"/> </choice> <ref name="Formula"/> </element> </zeroOrMore> <optional> <choice> <ref name="Formula"/> <ref name="Term"/> </choice> </optional> </element> |
Table 36. Element: DefPred
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
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Source |
<element name="DefPred" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="ArgTypes"/> <ref name="Formula"/> </element> |
Table 37. Element: DefTheorem
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
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Source |
<element name="DefTheorem" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="constrkind"> <choice> <value>M</value> <value>V</value> <value>R</value> <value>K</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> </optional> <ref name="Proposition"/> </element> |
Table 38. Element: Definiens
Documentation |
No documentation available. | ||||||||||||||||||||||||||||||||
Content Model |
( %Typ; )* , Essentials, %Formula; ? %DefMeaning; | ||||||||||||||||||||||||||||||||
Attributes |
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Source |
<element name="Definiens" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="constrkind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> <attribute name="defnr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <attribute name="aid"> <data type="string"/> </attribute> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="relnr"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <element name="Essentials"> <zeroOrMore> <ref name="Int"/> </zeroOrMore> </element> <optional> <ref name="Formula"/> </optional> <ref name="DefMeaning"/> </element> |
Table 39. Element: Definientia
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; ? , ( %Definiens; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Definientia" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> </optional> <zeroOrMore> <ref name="Definiens"/> </zeroOrMore> </element> |
Table 40. Element: Definition
Documentation |
No documentation available. | ||||||||||||||||||||||||||||||||
Content Model |
? , ( ( ( %CorrectnessCondition; )* , %Correctness; ? , ( %JustifiedProperty; )* , %Constructor; ? , %Pattern; ? ) | ( %Constructor;, %Constructor;, ( %Constructor; )+ , %Registration;, ( %CorrectnessCondition; )* , %Correctness; ? , ( %Pattern; )+ ) ) | ||||||||||||||||||||||||||||||||
Attributes |
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Source |
<element name="Definition" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>M</value> <value>V</value> <value>R</value> <value>K</value> <value>G</value> </choice> </attribute> <optional> <attribute name="redefinition"> <data type="boolean"/> </attribute> </optional> <optional> <attribute name="expandable"> <data type="boolean"/> </attribute> </optional> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <ref name="Position"/> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <choice> <group> <zeroOrMore> <ref name="CorrectnessCondition"/> </zeroOrMore> <optional> <ref name="Correctness"/> </optional> <zeroOrMore> <ref name="JustifiedProperty"/> </zeroOrMore> <optional> <ref name="Constructor"/> </optional> <optional> <ref name="Pattern"/> </optional> </group> <group> <ref name="Constructor"/> <ref name="Constructor"/> <oneOrMore> <ref name="Constructor"/> </oneOrMore> <ref name="Registration"/> <zeroOrMore> <ref name="CorrectnessCondition"/> </zeroOrMore> <optional> <ref name="Correctness"/> </optional> <oneOrMore> <ref name="Pattern"/> </oneOrMore> </group> </choice> </element> |
Table 41. Element: DefinitionBlock
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %Let; | %Assume; | %Given; | %AuxiliaryItem; | %Canceled; | %Definition; ) )* %EndPosition; | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="DefinitionBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <zeroOrMore> <choice> <ref name="Let"/> <ref name="Assume"/> <ref name="Given"/> <ref name="AuxiliaryItem"/> <ref name="Canceled"/> <ref name="Definition"/> </choice> </zeroOrMore> <ref name="EndPosition"/> </element> |
Table 42. Element: EndPosition
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
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Source |
<element name="EndPosition" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> </element> |
Table 43. Element: EqArgs
Documentation |
No documentation available. |
Content Model |
( %Pair; )* |
Source |
<element name="EqArgs" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Pair"/> </zeroOrMore> </element> |
Table 44. Element: ErrorCluster
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="ErrorCluster" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 45. Element: ErrorFrm
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="ErrorFrm" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 46. Element: ErrorIdentify
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="ErrorIdentify" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 47. Element: ErrorInf
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="ErrorInf" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 48. Element: ErrorTrm
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="ErrorTrm" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 49. Element: Essentials
Documentation |
No documentation available. |
Content Model |
( %Int; )* |
Source |
<element name="Essentials" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Int"/> </zeroOrMore> </element> |
Table 50. Element: Existence
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="Existence" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 51. Element: Expansion
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Expansion" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Typ"/> </element> |
Table 52. Element: FCluster
Documentation |
No documentation available. | ||||||||||||
Content Model |
( %ErrorCluster; | ( %ArgTypes;, %Term;, %Cluster;, %Cluster; ? , %Typ; ? ) ) | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="FCluster" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <choice> <ref name="ErrorCluster"/> <group> <ref name="ArgTypes"/> <ref name="Term"/> <ref name="Cluster"/> <optional> <ref name="Cluster"/> </optional> <optional> <ref name="Typ"/> </optional> </group> </choice> </element> |
Table 53. Element: Field
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model |
| ||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="Field" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="kind"> <value>U</value> </attribute> </optional> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> </optional> </element> |
Table 54. Element: Fields
Documentation |
No documentation available. |
Content Model |
( Field )* |
Source |
<element name="Fields" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <element name="Field"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="kind"> <value>U</value> </attribute> </optional> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> </optional> </element> </zeroOrMore> </element> |
Table 55. Element: For
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="For" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Typ"/> <ref name="Formula"/> </element> |
Table 56. Element: Format
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model |
| ||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||
Source |
<element name="Format" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>G</value> <value>K</value> <value>J</value> <value>L</value> <value>M</value> <value>O</value> <value>R</value> <value>U</value> <value>V</value> </choice> </attribute> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <attribute name="symbolnr"> <data type="integer"/> </attribute> <attribute name="argnr"> <data type="integer"/> </attribute> <optional> <attribute name="leftargnr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="rightsymbolnr"> <data type="integer"/> </attribute> </optional> </element> |
Table 57. Element: Formats
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Formats" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Format"/> </zeroOrMore> <zeroOrMore> <element name="Priority"> <attribute name="kind"> <choice> <value>O</value> <value>K</value> <value>L</value> </choice> </attribute> <attribute name="symbolnr"> <data type="integer"/> </attribute> <attribute name="value"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> |
Table 58. Element: Fraenkel
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Fraenkel" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <ref name="Term"/> <ref name="Formula"/> </element> |
Table 59. Element: FreeVar
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="FreeVar" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 60. Element: From
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model |
( %Ref; )* | ||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="From" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <attribute name="articlenr"> <data type="integer"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <zeroOrMore> <ref name="Ref"/> </zeroOrMore> </element> |
Table 61. Element: FromExplanations
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="FromExplanations" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="aid"> <data type="string"/> </attribute> <zeroOrMore> <ref name="SchemeInstantiation"/> </zeroOrMore> </element> |
Table 62. Element: Func
Documentation |
No documentation available. | ||||||||||||||||||||||||
Content Model |
( %Term; )* | ||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||
Source |
<element name="Func" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>F</value> <value>G</value> <value>K</value> <value>U</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Term"/> </zeroOrMore> </element> |
Table 63. Element: FuncInstance
Documentation |
No documentation available. | ||||||||||||||||||||||||
Content Model |
( ( ) | %Term; ) | ||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||
Source |
<element name="FuncInstance" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="instnr"> <data type="integer"/> </attribute> <choice> <group> <attribute name="kind"> <choice> <value>F</value> <value>H</value> <value>G</value> <value>K</value> <value>U</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> </group> <ref name="Term"/> </choice> </element> |
Table 64. Element: Given
Documentation |
No documentation available. | ||||||||
Content Model |
%Proposition;, ( %Typ; )+ , ( %Proposition; )+ | ||||||||
Attributes |
| ||||||||
Source |
<element name="Given" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <ref name="Proposition"/> <oneOrMore> <ref name="Typ"/> </oneOrMore> <oneOrMore> <ref name="Proposition"/> </oneOrMore> </element> |
Table 65. Element: Idempotence
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Idempotence" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 66. Element: Ident
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="Ident" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="vid"> <data type="integer"/> </attribute> </element> |
Table 67. Element: Identify
Documentation |
No documentation available. | ||||||||||||||||
Content Model |
( %ErrorIdentify; | ( ( %Typ; )* , ( ( %Term; %Term; ) | ( %Formula; %Formula; ) ) EqArgs ) ) | ||||||||||||||||
Attributes |
| ||||||||||||||||
Source |
<element name="Identify" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> <attribute name="constrkind"> <choice> <value>K</value> <value>U</value> <value>G</value> <value>V</value> <value>R</value> </choice> </attribute> <choice> <ref name="ErrorIdentify"/> <group> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <choice> <group> <ref name="Term"/> <ref name="Term"/> </group> <group> <ref name="Formula"/> <ref name="Formula"/> </group> </choice> <element name="EqArgs"> <zeroOrMore> <ref name="Pair"/> </zeroOrMore> </element> </group> </choice> </element> |
Table 68. Element: IdentifyRegistration
Documentation |
No documentation available. |
Content Model |
%Identify;, ( %CorrectnessCondition; )* , %Correctness; ? |
Source |
<element name="IdentifyRegistration" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Identify"/> <zeroOrMore> <ref name="CorrectnessCondition"/> </zeroOrMore> <optional> <ref name="Correctness"/> </optional> </element> |
Table 69. Element: IdentifyRegistrations
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; ? , ( %Identify; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="IdentifyRegistrations" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> </optional> <zeroOrMore> <ref name="Identify"/> </zeroOrMore> </element> |
Table 70. Element: IdentifyWithExp
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model |
( %ErrorIdentify; | ( ( %Typ; )* ( ( %Term; %Term; ) | ( %Formula; %Formula; ) ) ) ) | ||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="IdentifyWithExp" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <choice> <ref name="ErrorIdentify"/> <group> <attribute name="constrkind"> <choice> <value>K</value> <value>U</value> <value>G</value> <value>V</value> <value>R</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> <zeroOrMore> <ref name="Typ"/> </zeroOrMore> <choice> <group> <ref name="Term"/> <ref name="Term"/> </group> <group> <ref name="Formula"/> <ref name="Formula"/> </group> </choice> </group> </choice> </element> |
Table 71. Element: InfConst
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="InfConst" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 72. Element: Int
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="Int" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="x"> <data type="integer"/> </attribute> </element> |
Table 73. Element: Involutiveness
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Involutiveness" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 74. Element: Irreflexivity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Irreflexivity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 76. Element: It
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="It" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 77. Element: IterEquality
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model |
%Term;, ( %IterStep; )+ | ||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="IterEquality" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Position"/> <ref name="Term"/> <oneOrMore> <ref name="IterStep"/> </oneOrMore> </element> |
Table 78. Element: IterStep
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="IterStep" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Term"/> <ref name="Inference"/> </element> |
Table 79. Element: JustifiedProperty
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="JustifiedProperty" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Property"/> <ref name="Proposition"/> <ref name="Justification"/> </element> |
Table 80. Element: JustifiedTheorem
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="JustifiedTheorem" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Proposition"/> <ref name="Justification"/> </element> |
Table 81. Element: LambdaVar
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="LambdaVar" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 82. Element: Let
Documentation |
No documentation available. | ||||||||
Content Model |
( %Typ; )+ | ||||||||
Attributes |
| ||||||||
Source |
<element name="Let" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <oneOrMore> <ref name="Typ"/> </oneOrMore> </element> |
Table 83. Element: LocusVar
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="LocusVar" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 84. Element: Monomial
Documentation |
No documentation available. |
Content Model |
%Number;, ( PoweredVar )* |
Source |
<element name="Monomial" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Number"/> <zeroOrMore> <element name="PoweredVar"> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="exponent"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> |
Table 85. Element: Not
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="Not" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <ref name="Formula"/> </element> |
Table 86. Element: NotationBlock
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %Let; | %AuxiliaryItem; | %Pattern; ) )* %EndPosition; | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="NotationBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <zeroOrMore> <choice> <ref name="Let"/> <ref name="AuxiliaryItem"/> <ref name="Pattern"/> </choice> </zeroOrMore> <ref name="EndPosition"/> </element> |
Table 87. Element: Notations
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; %Vocabularies; ? , ( %Pattern; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Notations" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> <ref name="Vocabularies"/> </optional> <zeroOrMore> <ref name="Pattern"/> </zeroOrMore> </element> |
Table 88. Element: Now
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model | |||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="Now" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Position"/> <ref name="Reasoning"/> <ref name="BlockThesis"/> </element> |
Table 89. Element: Num
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="Num" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 90. Element: Pair
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="Pair" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="x"> <data type="integer"/> </attribute> <attribute name="y"> <data type="integer"/> </attribute> </element> |
Table 91. Element: PartialDef
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="PartialDef" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <ref name="Term"/> </choice> <ref name="Formula"/> </element> |
Table 92. Element: Pattern
Documentation |
No documentation available. | ||||||||||||||||||||||||||||||||||||||||
Content Model |
( | %Format; ) %ArgTypes;, Visible, Expansion ? | ||||||||||||||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||||||||||||||
Source |
<element name="Pattern" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> <value>J</value> </choice> </attribute> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <choice> <attribute name="formatnr"> <data type="integer"/> </attribute> <ref name="Format"/> </choice> <attribute name="constrkind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> <value>J</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> <optional> <attribute name="antonymic"> <data type="boolean"/> </attribute> </optional> <optional> <attribute name="relnr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="redefnr"> <data type="integer"/> </attribute> </optional> <ref name="ArgTypes"/> <element name="Visible"> <zeroOrMore> <ref name="Int"/> </zeroOrMore> </element> <optional> <element name="Expansion"> <ref name="Typ"/> </element> </optional> </element> |
Table 93. Element: PerCases
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="PerCases" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Proposition"/> <ref name="Inference"/> </element> |
Table 94. Element: PerCasesReasoning
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %BlockThesis; ( ( %CaseBlock; )+ | ( %SupposeBlock; )+ ) %PerCases; %Thesis; %EndPosition; ) | ( ( ( %CaseBlock; )+ | ( %SupposeBlock; )+ ) %PerCases; %EndPosition; %BlockThesis; ) ) | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="PerCasesReasoning" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <choice> <group> <ref name="BlockThesis"/> <choice> <oneOrMore> <ref name="CaseBlock"/> </oneOrMore> <oneOrMore> <ref name="SupposeBlock"/> </oneOrMore> </choice> <ref name="PerCases"/> <ref name="Thesis"/> <ref name="EndPosition"/> </group> <group> <choice> <oneOrMore> <ref name="CaseBlock"/> </oneOrMore> <oneOrMore> <ref name="SupposeBlock"/> </oneOrMore> </choice> <ref name="PerCases"/> <ref name="EndPosition"/> <ref name="BlockThesis"/> </group> </choice> </element> |
Table 95. Element: PolyEval
Documentation |
No documentation available. | ||||||||||||||||
Content Model | |||||||||||||||||
Attributes |
| ||||||||||||||||
Source |
<element name="PolyEval" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <optional> <attribute name="value"> <data type="boolean"/> </attribute> </optional> <ref name="Requirement"/> <oneOrMore> <ref name="GeneralPolynomial"/> </oneOrMore> </element> |
Table 96. Element: Polynomial
Documentation |
No documentation available. |
Content Model |
( %Monomial; )+ |
Source |
<element name="Polynomial" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <oneOrMore> <ref name="Monomial"/> </oneOrMore> </element> |
Table 97. Element: PoweredVar
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="PoweredVar" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="exponent"> <data type="integer"/> </attribute> </element> |
Table 98. Element: Pred
Documentation |
No documentation available. | ||||||||||||||||||||||||
Content Model |
( %Term; )* | ||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||
Source |
<element name="Pred" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>P</value> <value>V</value> <value>R</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Term"/> </zeroOrMore> </element> |
Table 99. Element: PredInstance
Documentation |
No documentation available. | ||||||||||||||||||||||||
Content Model |
| ||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||
Source |
<element name="PredInstance" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="instnr"> <data type="integer"/> </attribute> <attribute name="kind"> <choice> <value>P</value> <value>S</value> <value>V</value> <value>R</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> </element> |
Table 100. Element: Priority
Documentation |
No documentation available. | ||||||||||||||||
Content Model |
| ||||||||||||||||
Attributes |
| ||||||||||||||||
Source |
<element name="Priority" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>O</value> <value>K</value> <value>L</value> </choice> </attribute> <attribute name="symbolnr"> <data type="integer"/> </attribute> <attribute name="value"> <data type="integer"/> </attribute> </element> |
Table 101. Element: PrivFunc
Documentation |
No documentation available. | ||||||||
Content Model |
( %Term; )+ | ||||||||
Attributes |
| ||||||||
Source |
<element name="PrivFunc" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <oneOrMore> <ref name="Term"/> </oneOrMore> </element> |
Table 102. Element: PrivPred
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="PrivPred" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <zeroOrMore> <ref name="Term"/> </zeroOrMore> <ref name="Formula"/> </element> |
Table 103. Element: Projectivity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Projectivity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 104. Element: Proof
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model | |||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="Proof" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Position"/> <ref name="BlockThesis"/> <ref name="Reasoning"/> </element> |
Table 105. Element: Properties
Documentation |
No documentation available. | ||||||||||||
Content Model |
( %Property; )+ | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="Properties" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="propertyarg1"> <data type="integer"/> </attribute> <attribute name="propertyarg2"> <data type="integer"/> </attribute> <oneOrMore> <ref name="Property"/> </oneOrMore> </element> |
Table 106. Element: Proposition
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model | |||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="Proposition" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Formula"/> </element> |
Table 108. Element: RCluster
Documentation |
No documentation available. | ||||||||||||
Content Model |
( %ErrorCluster; | ( %ArgTypes;, %Typ;, %Cluster;, %Cluster; ? ) ) | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="RCluster" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <choice> <ref name="ErrorCluster"/> <group> <ref name="ArgTypes"/> <ref name="Typ"/> <ref name="Cluster"/> <optional> <ref name="Cluster"/> </optional> </group> </choice> </element> |
Table 109. Element: RationalNr
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="RationalNr" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="numerator"> <data type="integer"/> </attribute> <attribute name="denominator"> <data type="integer"/> </attribute> </element> |
Table 110. Element: Reconsider
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="Reconsider" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <oneOrMore> <ref name="Typ"/> <ref name="Term"/> </oneOrMore> <ref name="Proposition"/> <ref name="Justification"/> </element> |
Table 111. Element: Ref
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model |
| ||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||
Source |
<element name="Ref" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="articlenr"> <data type="integer"/> </attribute> <attribute name="kind"> <choice> <value>T</value> <value>D</value> </choice> </attribute> </optional> <ref name="Position"/> </element> |
Table 112. Element: Reflexivity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Reflexivity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 113. Element: Registration
Documentation |
No documentation available. |
Content Model |
( %RCluster; | %FCluster; | %CCluster; ) ( %CorrectnessCondition; )* , %Correctness; ? |
Source |
<element name="Registration" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="RCluster"/> <ref name="FCluster"/> <ref name="CCluster"/> </choice> <zeroOrMore> <ref name="CorrectnessCondition"/> </zeroOrMore> <optional> <ref name="Correctness"/> </optional> </element> |
Table 114. Element: RegistrationBlock
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %Let; | %AuxiliaryItem; | %Registration; | %IdentifyRegistration; | %Canceled; ) )+ %EndPosition; | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="RegistrationBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <oneOrMore> <choice> <ref name="Let"/> <ref name="AuxiliaryItem"/> <ref name="Registration"/> <ref name="IdentifyRegistration"/> <ref name="Canceled"/> </choice> </oneOrMore> <ref name="EndPosition"/> </element> |
Table 115. Element: Registrations
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; ? , ( ( %RCluster; | %CCluster; | %FCluster; ) )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Registrations" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> </optional> <zeroOrMore> <choice> <ref name="RCluster"/> <ref name="CCluster"/> <ref name="FCluster"/> </choice> </zeroOrMore> </element> |
Table 116. Element: Requirement
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model |
| ||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||
Source |
<element name="Requirement" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="constrkind"> <choice> <value>M</value> <value>L</value> <value>V</value> <value>R</value> <value>K</value> <value>U</value> <value>G</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="reqname"> <data type="string"/> </attribute> </optional> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> </element> |
Table 117. Element: Requirements
Documentation |
No documentation available. |
Content Model |
%Signature;, ( %Requirement; )* |
Source |
<element name="Requirements" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Signature"/> <zeroOrMore> <ref name="Requirement"/> </zeroOrMore> </element> |
Table 118. Element: Reservation
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Reservation" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <oneOrMore> <element name="Ident"> <attribute name="vid"> <data type="integer"/> </attribute> </element> </oneOrMore> <ref name="Typ"/> </element> |
Table 119. Element: Scheme
Documentation |
No documentation available. | ||||||||||||||||
Content Model |
%ArgTypes;, %Formula;, ( %Formula; )* | ||||||||||||||||
Attributes |
| ||||||||||||||||
Source |
<element name="Scheme" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="articlenr"> <data type="integer"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <ref name="ArgTypes"/> <ref name="Formula"/> <zeroOrMore> <ref name="Formula"/> </zeroOrMore> </element> |
Table 120. Element: SchemeBlock
Documentation |
No documentation available. | ||||||||||||||||||||
Content Model |
( ( %SchemeFuncDecl; | %SchemePredDecl; ) )* , SchemePremises %Proposition; %Justification; %EndPosition; | ||||||||||||||||||||
Attributes |
| ||||||||||||||||||||
Source |
<element name="SchemeBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="schemenr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="Position"/> <zeroOrMore> <choice> <ref name="SchemeFuncDecl"/> <ref name="SchemePredDecl"/> </choice> </zeroOrMore> <element name="SchemePremises"> <zeroOrMore> <ref name="Proposition"/> </zeroOrMore> </element> <ref name="Proposition"/> <ref name="Justification"/> <ref name="EndPosition"/> </element> |
Table 121. Element: SchemeFuncDecl
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="SchemeFuncDecl" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="ArgTypes"/> <ref name="Typ"/> </element> |
Table 122. Element: SchemeInstantiation
Documentation |
No documentation available. | ||||||||||||
Content Model |
( FuncInstance )* , ( PredInstance )* | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="SchemeInstantiation" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <zeroOrMore> <element name="FuncInstance"> <attribute name="instnr"> <data type="integer"/> </attribute> <choice> <group> <attribute name="kind"> <choice> <value>F</value> <value>H</value> <value>G</value> <value>K</value> <value>U</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> </group> <ref name="Term"/> </choice> </element> </zeroOrMore> <zeroOrMore> <element name="PredInstance"> <attribute name="instnr"> <data type="integer"/> </attribute> <attribute name="kind"> <choice> <value>P</value> <value>S</value> <value>V</value> <value>R</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> </element> </zeroOrMore> </element> |
Table 123. Element: SchemePredDecl
Documentation |
No documentation available. | ||||||||||||
Content Model | |||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="SchemePredDecl" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <ref name="ArgTypes"/> </element> |
Table 124. Element: SchemePremises
Documentation |
No documentation available. |
Content Model |
( %Proposition; )* |
Source |
<element name="SchemePremises" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Proposition"/> </zeroOrMore> </element> |
Table 125. Element: Schemes
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; ? , ( %Scheme; )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Schemes" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> </optional> <zeroOrMore> <ref name="Scheme"/> </zeroOrMore> </element> |
Table 126. Element: Section
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Section" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 127. Element: Set
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="Set" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <ref name="Term"/> <ref name="Typ"/> </element> |
Table 128. Element: Signature
Documentation |
No documentation available. |
Content Model |
( %ArticleID; )* |
Source |
<element name="Signature" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="ArticleID"/> </zeroOrMore> </element> |
Table 129. Element: SignatureWithCounts
Documentation |
No documentation available. |
Content Model |
( %ConstrCounts; )* |
Source |
<element name="SignatureWithCounts" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="ConstrCounts"/> </zeroOrMore> </element> |
Table 130. Element: SkippedProof
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="SkippedProof" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 131. Element: StructLoci
Documentation |
No documentation available. |
Content Model |
( %Pair; )* |
Source |
<element name="StructLoci" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Pair"/> </zeroOrMore> </element> |
Table 132. Element: Suppose
Documentation |
No documentation available. |
Content Model |
( %Proposition; )+ |
Source |
<element name="Suppose" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <oneOrMore> <ref name="Proposition"/> </oneOrMore> </element> |
Table 133. Element: SupposeBlock
Documentation |
No documentation available. | ||||||||||||
Content Model |
( ( %BlockThesis; %Suppose; %Thesis; %Reasoning; ) | ( %Suppose; %Reasoning; %BlockThesis; ) ) | ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="SupposeBlock" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Position"/> <choice> <group> <ref name="BlockThesis"/> <ref name="Suppose"/> <ref name="Thesis"/> <ref name="Reasoning"/> </group> <group> <ref name="Suppose"/> <ref name="Reasoning"/> <ref name="BlockThesis"/> </group> </choice> </element> |
Table 134. Element: Symbol
Documentation |
No documentation available. | ||||||||||||||||
Content Model |
| ||||||||||||||||
Attributes |
| ||||||||||||||||
Source |
<element name="Symbol" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <data type="string"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="name"> <data type="integer"/> </attribute> </element> |
Table 135. Element: SymbolCount
Documentation |
No documentation available. | ||||||||||||
Content Model |
| ||||||||||||
Attributes |
| ||||||||||||
Source |
<element name="SymbolCount" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>G</value> <value>K</value> <value>L</value> <value>M</value> <value>O</value> <value>R</value> <value>U</value> <value>V</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 136. Element: Symbols
Documentation |
No documentation available. |
Content Model |
( Symbol )* |
Source |
<element name="Symbols" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <element name="Symbol"> <attribute name="kind"> <data type="string"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> <attribute name="name"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> |
Table 137. Element: Symmetry
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Symmetry" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 138. Element: Take
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Take" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Term"/> </element> |
Table 139. Element: TakeAsVar
Documentation |
No documentation available. | ||||||||
Content Model | |||||||||
Attributes |
| ||||||||
Source |
<element name="TakeAsVar" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <ref name="Typ"/> <ref name="Term"/> </element> |
Table 140. Element: Theorem
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model | |||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||
Source |
<element name="Theorem" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="articlenr"> <data type="integer"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="constrkind"> <choice> <value>M</value> <value>V</value> <value>R</value> <value>K</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <attribute name="kind"> <choice> <value>T</value> <value>D</value> </choice> </attribute> <ref name="Formula"/> </element> |
Table 141. Element: Theorems
Documentation |
No documentation available. | ||||||||
Content Model |
%Signature; ? , ( Theorem )* | ||||||||
Attributes |
| ||||||||
Source |
<element name="Theorems" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <ref name="Signature"/> </optional> <zeroOrMore> <element name="Theorem"> <optional> <attribute name="articlenr"> <data type="integer"/> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="constrkind"> <choice> <value>M</value> <value>V</value> <value>R</value> <value>K</value> </choice> </attribute> <attribute name="constrnr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="aid"> <data type="string"/> </attribute> </optional> <attribute name="kind"> <choice> <value>T</value> <value>D</value> </choice> </attribute> <ref name="Formula"/> </element> </zeroOrMore> </element> |
Table 142. Element: Thesis
Documentation |
No documentation available. |
Content Model | |
Source |
<element name="Thesis" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="Formula"/> <ref name="ThesisExpansions"/> </element> |
Table 143. Element: ThesisExpansions
Documentation |
No documentation available. |
Content Model |
( %Pair; )* |
Source |
<element name="ThesisExpansions" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Pair"/> </zeroOrMore> </element> |
Table 144. Element: Transitivity
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Transitivity" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 145. Element: Typ
Documentation |
No documentation available. | ||||||||||||||||||||||||||||
Content Model | |||||||||||||||||||||||||||||
Attributes |
| ||||||||||||||||||||||||||||
Source |
<element name="Typ" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="kind"> <choice> <value>M</value> <value>G</value> <value>L</value> <value>errortyp</value> </choice> </attribute> <optional> <attribute name="nr"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="absnr"> <data type="integer"/> </attribute> <attribute name="aid"> <data type="string"/> </attribute> </optional> <optional> <attribute name="pid"> <data type="integer"/> </attribute> </optional> <optional> <attribute name="vid"> <data type="integer"/> </attribute> </optional> <zeroOrMore> <ref name="Cluster"/> </zeroOrMore> <zeroOrMore> <ref name="Term"/> </zeroOrMore> </element> |
Table 146. Element: UnexpectedProp
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="UnexpectedProp" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 147. Element: Uniqueness
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="Uniqueness" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 148. Element: UnknownCorrCond
Documentation |
No documentation available. |
Content Model |
( %Formula; | ( %Proposition; %Justification; ) ) |
Source |
<element name="UnknownCorrCond" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <choice> <ref name="Formula"/> <group> <ref name="Proposition"/> <ref name="Justification"/> </group> </choice> </element> |
Table 149. Element: Var
Documentation |
No documentation available. | ||||||||
Content Model |
| ||||||||
Attributes |
| ||||||||
Source |
<element name="Var" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <attribute name="nr"> <data type="integer"/> </attribute> </element> |
Table 150. Element: Verum
Documentation |
No documentation available. |
Content Model |
EMPTY |
Source |
<element name="Verum" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <empty/> </element> |
Table 151. Element: Visible
Documentation |
No documentation available. |
Content Model |
( %Int; )* |
Source |
<element name="Visible" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <ref name="Int"/> </zeroOrMore> </element> |
Table 152. Element: Vocabularies
Documentation |
No documentation available. |
Content Model |
( Vocabulary )* |
Source |
<element name="Vocabularies" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <zeroOrMore> <element name="Vocabulary"> <ref name="ArticleID"/> <zeroOrMore> <element name="SymbolCount"> <attribute name="kind"> <choice> <value>G</value> <value>K</value> <value>L</value> <value>M</value> <value>O</value> <value>R</value> <value>U</value> <value>V</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> </zeroOrMore> </element> |
Table 153. Element: Vocabulary
Documentation |
No documentation available. |
Content Model |
%ArticleID;, ( SymbolCount )* |
Source |
<element name="Vocabulary" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0"> <ref name="ArticleID"/> <zeroOrMore> <element name="SymbolCount"> <attribute name="kind"> <choice> <value>G</value> <value>K</value> <value>L</value> <value>M</value> <value>O</value> <value>R</value> <value>U</value> <value>V</value> </choice> </attribute> <attribute name="nr"> <data type="integer"/> </attribute> </element> </zeroOrMore> </element> |
Table 154. Pattern: Adjective
Namespace | |
Documentation |
Adjective is a possibly negated (and paramaterized) attribute Optionally the article id (aid) and order in article (absnr) can be given. If available, presentational info (number of the Pattern) is given in pid. The heuristic for for displaying clusters is that attributes without pid have been added automatically by cluster mechanisms. The attribute kind (kind) 'V' can be added explicitly. |
Content Model |
Table 155. Pattern: And
Namespace | |
Documentation |
Conjunctive formula. If available, presentational info is given in pid. |
Content Model |
Table 156. Pattern: ArgTypes
Namespace | |
Documentation |
Argument types of constructors, patterns, clusters, etc. |
Content Model |
Table 157. Pattern: Article
Namespace | |
Documentation |
The complete article after analyzer. aid specifies its name in uppercase, and mizfiles optionally gives a location of the local MIZFILES directory used during processing the article (needed to know for browsing of locally installed html in MIZFILES/html). |
Content Model |
Table 158. Pattern: ArticleID
Namespace | |
Documentation |
This is now only the unique name of an article. |
Content Model |
Table 159. Pattern: Assume
Namespace | |
Documentation |
One assumption may consist of several propositions. |
Content Model |
Table 160. Pattern: AuxiliaryItem
Namespace | |
Documentation |
Auxiliary items are items which do not change thesis. |
Content Model |
( %JustifiedProposition; | %Consider; | %Set; | %Reconsider; | %DefFunc; | %DefPred; ) |
Table 161. Pattern: BlockThesis
Namespace | |
Documentation |
The block thesis is printed for proofs in the beginning and for diffuse reasoning in the end. For diffuse reasoning, the series of temporary subthesis corresponding to all skeleton items is printed before the main theses (in the same order as the skeleton items in the block). |
Content Model |
Table 163. Pattern: ByExplanations
Namespace | |
Documentation |
Reports from the Mizar checker, now only arithmetical evaluations. They are now only available when the verifier is compiled with a special directive - this should be changed to a user option eventually. |
Content Model |
Table 164. Pattern: CCluster
Namespace | |
Documentation |
Conditional cluster. This says that Typ with the first cluster has also the second (optionally followed by its extended version created by rounding up in current environment). Optionally the article id (aid) and order in article (nr) can be given. |
Content Model |
Table 165. Pattern: Canceled
Namespace | |
Documentation |
Canceled theorem ( if on top-level), definition or registration (if inside such blocks). We should add to this the number of canceled items as an attribute. |
Content Model |
Table 167. Pattern: CaseBlock
Namespace | |
Documentation |
Block starting with one case, the direct and diffuse version (this depends on the kind of its parent block). The block thesis is printed for proofs in the beginning and for diffuse reasoning in the end. |
Content Model |
Table 168. Pattern: Choice
Namespace | |
Documentation |
Choice term is defined by the type of its argument, |
Content Model |
Table 172. Pattern: ComplexNr
Namespace | |
Documentation |
Complex rational numbers used in Mizar |
Content Model |
Table 173. Pattern: Conclusion
Namespace | |
Documentation |
Justified conclusion. In text, this can appear as _hence_, _thus_ or _hereby_ (which starts diffuse conclusion). |
Content Model |
Table 174. Pattern: Consider
Namespace | |
Documentation |
First comes the reconstructed existential statement and its justification, then the new local constants and zero or more propositions about them. For easier presentation, nr optionally contains the number of the first local constant created here. Each type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 176. Pattern: Const
Namespace | |
Documentation |
Normal local constant introduced e.g. by Let or Consider presentational info may be given in vid. |
Content Model |
Table 177. Pattern: ConstrCounts
Namespace | |
Documentation |
Constructor counts are used probably for renumerating. The article named can be given if not implicit. This implementation might change in some time. |
Content Model |
Table 178. Pattern: ConstrDef
Namespace | |
Documentation |
ConstrDef holds a term together with types of its variables and the top-level functor. Used now mainly for identify. |
Content Model |
Table 179. Pattern: Constructor
Namespace | |
Documentation |
Constructors are functors, predicates, attributes, etc. nr, kind and aid (article id) determine the constructor absolutely in MML, relnr optionally gives its serial number in environment for a particular article (it is not in prels). All have (possibly empty) properties, argtypes and some have one or more mother types. The optional final Fields are selectors for agrregates and structmodes. aggregbase is for aggregates (maybe OVER-arguments), structmodeaggrnr is for structmodes (nr of corresponding aggregate). absredefnr and redefaid optionally give absolute address of a redefinition. |
Content Model |
Table 180. Pattern: Constructors
Namespace | |
Documentation |
Constructors, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. aid optionally specifies its article's name in uppercase. |
Content Model |
Table 181. Pattern: Correctness
Namespace | |
Documentation |
This is a way how to state all correctness conditions in one keyword. The relevant conditions are computed by the analyzer and printed here, their conjunction has to be justified. |
Content Model |
Table 182. Pattern: CorrectnessCondition
Namespace | |
Documentation |
The possible correctness conditions are following. They can either be only stated in the Correctness, which conjugates them and proves them all, or come separately as a proposition with a justification. |
Content Model |
( %UnknownCorrCond; | %Coherence; | %Compatibility; | %Consistency; | %Existence; | %Uniqueness; ) |
Table 183. Pattern: DefFunc
Namespace | |
Documentation |
Private functor. First come the types of arguments, then its definition and the result type. For easier presentation, nr optionally contains number of the private functor created here, and its identifier's number (vid). |
Content Model |
Table 184. Pattern: DefMeaning
Namespace | |
Documentation |
DefMeaning consists of the formulas and terms defining a constructor. It can be either defined by _equals_ (terms) or by _means_ (formulas). It may contain several partial (case) definitions - first in them comes the definition (term or formula) valid in that case and second comes the case formula. The final term or formula specifies the default case, it is mandatory if no partial definitions are given. If no default is given, the disjunction of all case formulas must be true (this have to be proved using the _consistency_ condition). |
Content Model |
Table 185. Pattern: DefPred
Namespace | |
Documentation |
Private predicate. First come the types of arguments, then its definition. For easier presentation, nr optionally contains number of the private predicate created here, and its identifier's number (vid). |
Content Model |
Table 186. Pattern: DefTheorem
Namespace | |
Documentation |
Theorems created from definitions are now printed as separate top-level items after definitional blocks, constrkind and constrnr determine the defined constructor. If they do not appear, this is a canceled (verum) deftheorem. |
Content Model |
Table 187. Pattern: Definiens
Namespace | |
Documentation |
Definiens of a constructor. This overlaps a bit with Constructor. defnr is the number of the corresponding definitional theorem, and vid optionally its label's identifier. First come the argument types and possibly also the result type. The optional formula is conjunction of all assumptions if any given. If this is a redefinition, essentials are indeces of arguments corresponding to the arguments of original, otherwise it is just identity. This could be now encode with just one number like the superfluous does for Constructor. Optionally the article id (aid) and order in article (nr) can be given. relnr optionally gives its serial number in environment for a particular article (it is not in prels). vid gives a number of the label identifier if present. |
Content Model |
Table 188. Pattern: Definientia
Namespace | |
Documentation |
Definientia, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. aid optionally specifies article's name in uppercase. |
Content Model |
Table 189. Pattern: Definition
Namespace | |
Documentation |
Definition of a functor, predicate, mode, attribute or structure. with optional label, properties and correctness conditions. Sometimes no constructor is created (e.g. for expandable modes). The second optional form creating three or more constructors is for structure definitions, which define the aggregate functor, the structure mode, the strict attribute and zero or more selectors, and create existential registration for the strict attribute. If any definientia and definitional theorems are created, they follow immediately after the enclosing definitional block (this might be changed in the future). Number, position, and identifier number of the definiens (vid) can be optionally given. |
Content Model |
Table 190. Pattern: DefinitionBlock
Namespace | |
Documentation |
A block of one or more (possibly canceled) (re)definitions, possibly with assumptions. If any definientia and definitional theorems are created, they follow immediately after this block. |
Content Model |
Table 191. Pattern: EndPosition
Namespace | |
Documentation |
Ending position (e.g. of blocks). |
Content Model |
Table 192. Pattern: ErrorCluster
Namespace | |
Documentation |
This encodes error during cluster processing |
Content Model |
Table 193. Pattern: ErrorFrm
Namespace | |
Documentation |
Incorrect (erroneous formula) - e.g. containing undefined symbols |
Content Model |
Table 194. Pattern: ErrorIdentify
Namespace | |
Documentation |
This encodes error during identification processing |
Content Model |
Table 195. Pattern: ErrorTrm
Namespace | |
Documentation |
Incorrect (erroneous term) - e.g. containing undefined symbols |
Content Model |
Table 197. Pattern: FCluster
Namespace | |
Documentation |
Functor (term) cluster. This says that Term with ArgTypes has Cluster (optionally followed by its extended version created by rounding up in current environment), optionally with explicit Typ. Optionally the article id (aid) and order in article (nr) can be given. |
Content Model |
Table 198. Pattern: Fields
Namespace | |
Documentation |
Specify fields of aggregates and structmodes by their relative nr. Optionally the article id (aid) and order in article (absnr) can be given. The selector kind (kind) 'U' can can be added explicitly. |
Content Model |
Table 199. Pattern: For
Namespace | |
Documentation |
Universally quantified formula If available, presentational info is given in pid. If available, numbere of the variable identifier is given in vid. |
Content Model |
Table 200. Pattern: Format
Namespace | |
Documentation |
Format keeps the kind of a given symbol and arities. For bracket formats (K) this keeps both symbols. Optionally a nr (of the format) is kept, to which patterns may refer, This implementation might change in some time. |
Content Model |
Table 201. Pattern: Formats
Namespace | |
Documentation |
Format info contains symbol formats and priorities. Priorities are used only for functor symbols. This implementation might change in some time. |
Content Model |
Table 202. Pattern: Formula
Namespace | |
Documentation |
No documentation available. |
Content Model |
( %Not; | %And; | %For; | %Pred; | %PrivPred; | %Is; | %Verum; | %ErrorFrm; ) |
Table 203. Pattern: Fraenkel
Namespace | |
Documentation |
Fraenkel term is defined by the types of its lambda arguments, its lambda term and the separating formula. Each type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 204. Pattern: FreeVar
Namespace | |
Documentation |
Free variable - used only internally in checker |
Content Model |
Table 205. Pattern: From
Namespace | |
Documentation |
From encodes one scheme justification, it cannot be linked. |
Content Model |
Table 206. Pattern: FromExplanations
Namespace | |
Documentation |
Reports from the Mizar schematizer - scheme instantioations. They are now only available when the verifier is compiled with a special directive - this should be changed to a user option eventually. |
Content Model |
Table 207. Pattern: Func
Namespace | |
Documentation |
Functor terms - schematic, aggregates, normal and selectors Optionally the article id (aid) and order in article (absnr) can be given. If available, presentational info (number of the Pattern) is given in pid. |
Content Model |
Table 208. Pattern: GeneralPolynomial
Namespace | |
Documentation |
No documentation available. |
Content Model |
( %Polynomial; | %Number; ) |
Table 209. Pattern: Given
Namespace | |
Documentation |
This is existential assumption, it may be used when the normal assumption starts with existential quantifier, and emulates the use of assume followed by consider. First comes the reconstructed assumed existential statement, then the newly introduced local constant(s), and finally the proposition(s) containing the new local constant(s). For easier presentation, nr optionally contains the number of the first local constant created here. Each type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 210. Pattern: Identify
Namespace | |
Documentation |
Identification (unoriented, this is not used currently, see identifyWithExp instead). This says that two terms with the two constructors at the top are equal when the pairs of their arguments specified in EqArgs are equal. Optionally the article id (aid) and order in article (nr) can be given. |
Content Model |
Table 211. Pattern: IdentifyRegistration
Namespace | |
Documentation |
One justified identification registration. The correctness conditions could be made more specific. |
Content Model |
Table 212. Pattern: IdentifyRegistrations
Namespace | |
Documentation |
Identifications, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. aid optionally specifies its article's name in uppercase. |
Content Model |
Table 213. Pattern: IdentifyWithExp
Namespace | |
Documentation |
Identification (oriented, currently used version). This says to identify anything matching the first term or formula pattern (with ConstrKind and ConstrNr as the top constructor) with the second pattern (instantiated by the matching). The type requirements for the matching (i.e. the loci) are given first. Note that this works only one way, if you want it also the other way, the symmetrical variant has to be explicitly stated as another identification. Optionally the article id (aid) and order in article (nr) can be given. |
Content Model |
Table 214. Pattern: InfConst
Namespace | |
Documentation |
Inference constant - used for internal term sharing |
Content Model |
Table 217. Pattern: Is
Namespace | |
Documentation |
Qualification formula (claims that a term has certaing type) |
Content Model |
Table 218. Pattern: It
Namespace | |
Documentation |
_It_ is a special term used in definitions. Probably no longer used on this level. |
Content Model |
Table 219. Pattern: IterEquality
Namespace | |
Documentation |
Iterative equality. The optional numbers (nr) is serial label numbering, and original label identifier (vid). |
Content Model |
Table 220. Pattern: IterStep
Namespace | |
Documentation |
This is one step in an iterative equation. |
Content Model |
Table 221. Pattern: Justification
Namespace | |
Documentation |
Direct justification. |
Content Model |
( %Inference; | %Proof; | %SkippedProof; ) |
Table 222. Pattern: JustifiedProperty
Namespace | |
Documentation |
A property of a constructor, the proposition expreesing it, and its justification. |
Content Model |
Table 223. Pattern: JustifiedProposition
Namespace | |
Documentation |
No documentation available. |
Content Model |
( %Now; | %IterEquality; | ( %Proposition; %Justification; ) ) |
Table 224. Pattern: JustifiedTheorem
Namespace | |
Documentation |
Theorem as a proposition with justification. |
Content Model |
Table 226. Pattern: Let
Namespace | |
Documentation |
Introduction of local constants, the numbering is automatic, so only types are needed. For easier presentation, nr optionally contains the number of the first local constant created here. Each type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 227. Pattern: LocusVar
Namespace | |
Documentation |
Locus variable used usually for pattern matching. Their types are given elsewhere in data using them - see e.g. Constructor |
Content Model |
Table 228. Pattern: Monomial
Namespace | |
Documentation |
Monomial has a coefficient and a series of variables with their exponents. |
Content Model |
Table 229. Pattern: Not
Namespace | |
Documentation |
Negation. If available, presentational info is given in pid. |
Content Model |
Table 230. Pattern: NotationBlock
Namespace | |
Documentation |
Block of synonyms or antonyms. The patterns are semantically irrelevant and are not printed yet - fix this. |
Content Model |
Table 231. Pattern: Notations
Namespace | |
Documentation |
Notations, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature and vocabularies have to be specified. aid optionally specifies article's name in uppercase. |
Content Model |
Table 232. Pattern: Now
Namespace | |
Documentation |
Diffuse statement - its thesis is reconstructed in the end. Label (nr) and its identifier (vid) of diffuse statement (if any) is label of its thesis. |
Content Model |
Table 234. Pattern: Number
Namespace | |
Documentation |
No documentation available. |
Content Model |
( %RationalNr; | %ComplexNr; ) |
Table 236. Pattern: Pattern
Namespace | |
Documentation |
Patterns map formats with argtypes to constructors. The format is either specified as a number (then it must be available in some table), or is given explicitely. Visible are indeces of visible (nonhidden) arguments. If antonymic, its constructor has to be negated. Mode patterns can have expansion instead of just a constructor - this might be done for other patterns too, or replaced by the _equals_ mechanism. The J (forgetful functor) patterns are actually an example of another expanded patterns, but the expansion is uniform for all of them, so it does not have to be given. The invalid ConstrKind J is now used for forgetful functors, this should be changed. Optionally the article id (aid) and order in article (nr) can be given. relnr optionally gives its serial number in environment for a particular article (it is not in prels). redefnr optonally gives the relative number of the original pattern to which the current is defined as synonym/antonym. |
Content Model |
Table 237. Pattern: PerCases
Namespace | |
Documentation |
This justifies the case split (the disjunction of all Suppose or Case items in direct subblocks) in PerCasesReasoning. The case split is only known after all subblocks are known, so this is the last item in its block, not like in the Mizar text. |
Content Model |
Table 238. Pattern: PerCasesReasoning
Namespace | |
Documentation |
Reasoning per cases. It only contains CaseBlock or SupposeBlock subblocks, with the exception of the mandatory last PerCases justifying the case split. Direct and diffuse versions are possible (this depends on the kind of its parent block). The block thesis is printed for proofs in the beginning and for diffuse reasoning in the end. |
Content Model |
Table 239. Pattern: PolyEval
Namespace | |
Documentation |
Builtin numerical evaluations of arithmetical functors and predicates. For predicates, the value can be false. Arguments are generally polynoms with complex coefficients. For functors, the last polynom is the result value. |
Content Model |
Table 240. Pattern: Polynomial
Namespace | |
Documentation |
Polynomial consists of several monomials. |
Content Model |
Table 241. Pattern: Position
Namespace | |||||||||||||
Documentation |
No documentation available. | ||||||||||||
Attributes |
|
Table 242. Pattern: Pred
Namespace | |
Documentation |
Atomic predicate formulas - schematic, attributive and normal Optionally the article id (aid) and order in article (absnr) can be given. If available, presentational info (number of the Pattern) is given in pid. |
Content Model |
Table 243. Pattern: PrivFunc
Namespace | |
Documentation |
Private functor with arguments is a shorthand for another term. The first (mandatory) term is the expansion, arguments follow. |
Content Model |
Table 244. Pattern: PrivPred
Namespace | |
Documentation |
Private predicate with arguments is a shorthand for another formula |
Content Model |
Table 245. Pattern: Proof
Namespace | |
Documentation |
Direct proof of some proposition (which is the proof's thesis). Label (nr) of proof (if any) is label of its thesis, vid is then the identifier nr of this label. |
Content Model |
Table 246. Pattern: Properties
Namespace | |
Documentation |
Properties of constructors; if some given, the first and the second argument to which they apply must be specified. |
Content Model |
Table 247. Pattern: Property
Namespace | |
Documentation |
No documentation available. |
Content Model |
( UnexpectedProp | Symmetry | Reflexivity | Irreflexivity | Associativity | Transitivity | Commutativity | Connectedness | Antisymmetry | Idempotence | Involutiveness | Projectivity | Abstractness ) |
Table 248. Pattern: Proposition
Namespace | |
Documentation |
Proposition is a sentence with position and possible label (and its identifier). |
Content Model |
Table 249. Pattern: QuaTrm
Namespace | |
Documentation |
Qua terms capture the retyping term qua type construct, but they are probably no longer used on this level. |
Content Model |
Table 250. Pattern: RCluster
Namespace | |
Documentation |
Existential (registration) cluster. This says that exists Typ with Cluster (optionally followed by its extended version created by rounding up in current environment). Optionally the article id (aid) and order in article (nr) can be given. |
Content Model |
Table 252. Pattern: Reasoning
Namespace | |
Documentation |
Reasoning is a series of skeleton and auxiliary items, finished by optional per cases reasoning. |
Content Model |
( ( %SkeletonItem; | %AuxiliaryItem; ) )* , %PerCasesReasoning; ? %EndPosition; |
Table 253. Pattern: Reconsider
Namespace | |
Documentation |
First comes the series of target types and reconsidered terms. For all these terms a new local variable with its target type is created, and its equality to the corresponding term is remembered. Finally the proposition about the typing is given and justified. For easier presentation, nr optionally contains the number of the first local constant created here. Each type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 254. Pattern: Ref
Namespace | |
Documentation |
Reference can be either private (coming from the current article) - their number is the position at the stack of accessible references (so it is not unique), or library - these additionally contain their kind (theorem or definition) and article nr. The position in the inference is kept for error messaging. For a private inference, the vid attribute optionally tells its identifier's number. |
Content Model |
Table 255. Pattern: Registration
Namespace | |
Documentation |
One justified cluster registration. The correctness conditions could be made more specific for each. |
Content Model |
Table 256. Pattern: RegistrationBlock
Namespace | |
Documentation |
Block of cluster registrations. |
Content Model |
Table 257. Pattern: Registrations
Namespace | |
Documentation |
Registrations, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. aid optionally specifies its article's name in uppercase. |
Content Model |
Table 258. Pattern: Requirement
Namespace | |
Documentation |
Requirement is a constructor specially treated by the system. We give its internal number and optionally its name and the article id (aid) and order in article (absnr). |
Content Model |
Table 259. Pattern: Requirements
Namespace | |
Documentation |
Requirements (now only the exported form). |
Content Model |
Table 260. Pattern: Reservation
Namespace | |
Documentation |
Reservation of a new variable for a type. The type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 261. Pattern: Scheme
Namespace | |
Documentation |
Schemes keep types of their second-order variables. First comes the scheme thesis, then the premises. The article number and order in article can be given, otherwise it belongs to the current article and order is implicit. Optional aid attribute specifies article name. |
Content Model |
Table 262. Pattern: SchemeBlock
Namespace | |
Documentation |
Scheme blocks are used for declaring the types of second-order variables appearing in a scheme, and for its justification. This could be a bit unified with Scheme later. schemenr is its serial nr in the article, while vid is its identifier number. |
Content Model |
Table 263. Pattern: SchemeFuncDecl
Namespace | |
Documentation |
Declaration of a scheme functor, possibly with its identifier number. |
Content Model |
Table 264. Pattern: SchemeInstantiation
Namespace | |
Documentation |
Instantions of scheme functors and predicates. and predicates. Scheme functors can be instantiated to other functors or terms (if zero arity). Scheme predicates can be instantiated to other predicates |
Content Model |
Table 265. Pattern: SchemePredDecl
Namespace | |
Documentation |
Declaration of a scheme predicate, possibly with its identifier number. |
Content Model |
Table 266. Pattern: Schemes
Namespace | |
Documentation |
Schemes, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. aid optionally specifies article's name in uppercase. |
Content Model |
Table 268. Pattern: Set
Namespace | |
Documentation |
This is e.g.: set a = f(b); . The type of the new local constant is given. This local constant is now always expanded to its definition, and should not directly appear in any expression, but it is now needed for some implementation reasons. For easier presentation, nr optionally contains the number of the first local constant created here. The type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 269. Pattern: Signature
Namespace | |
Documentation |
Signature is a list of articles from which we import constructors. |
Content Model |
Table 270. Pattern: SkeletonItem
Namespace | |
Documentation |
Skeleton items change the InFile.Current thesis, for Proof the changed Thesis together with used expansions is printed explicitely after them. PerCasesReasoning is not included here. |
Content Model |
( %Let; | %Conclusion; | %Assume; | %Given; | %Take; | %TakeAsVar; ) %Thesis; ? |
Table 271. Pattern: SkippedProof
Namespace | |
Documentation |
This means that the author has skipped the proof. Articles with such items are not yet fully completed. |
Content Model |
Table 272. Pattern: StructLoci
Namespace | |
Documentation |
Structural loci are not used yet (that is all I know about them). |
Content Model |
Table 273. Pattern: Suppose
Namespace | |
Documentation |
Supposition of one or more propositions. |
Content Model |
Table 274. Pattern: SupposeBlock
Namespace | |
Documentation |
Block starting with one supposition, the direct and diffuse version (this depends on the kind of its parent block). The block thesis is printed for proofs in the beginning and for diffuse reasoning in the end. |
Content Model |
Table 275. Pattern: Symbols
Namespace | |||||||||
Documentation |
Local dictionary for an article. The symbol kinds still use very internal notation. | ||||||||
Content Model | |||||||||
Attributes |
|
Table 276. Pattern: Take
Namespace | |
Documentation |
Take without equality. This does not introduce a new local constant, just changes the thesis. |
Content Model |
Table 277. Pattern: TakeAsVar
Namespace | |
Documentation |
Take with equality. This introduces a new local constant, whose type is given here. For easier presentation, nr optionally contains the number of the first local constant created here. The type may optionally have presentational info about the variable (vid) inside. |
Content Model |
Table 278. Pattern: Term
Namespace | |
Documentation |
No documentation available. |
Content Model |
( %Var; | %LocusVar; | %FreeVar; | %LambdaVar; | %Const; | %InfConst; | %Num; | %Func; | %PrivFunc; | %Fraenkel; | %QuaTrm; | %It; | %Choice; | %ErrorTrm; ) |
Table 279. Pattern: Theorems
Namespace | |
Documentation |
Theorems, either imported from other articles ( after accommodation) - the signature is implicit in that case, or exported from the current article - then the signature has to be specified. They can be either ordinary or definitional. The article number and order in article can be given, otherwise it belongs to the current article and order is implicit. Optional aid attribute specifies article name. constrkind and constrnr determine for def. theorems the defined constructor. If they do not appear (and kind='D'), then this is a canceled (verum) deftheorem. |
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Table 280. Pattern: Thesis
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The changed thesis is printed after skeleton items in proofs, together with the numbers of definientia used for its expansion. |
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Table 281. Pattern: ThesisExpansions
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Numbers of Definiens used in expanding the thesis, together with their counts. |
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Table 282. Pattern: Typ
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Parameterized type - either mode or structure The kinds "L" and "G" are equivalent, "G" is going to be replaced by more correct "L" in Mizar gradually. First goes the LowerCluster, than UpperCluster Optionally the article id (aid) and order in article (absnr) can be given. If available, presentational info (number of the Pattern) is given in pid, and presentational info about variable introduced (e.g. in Fraenkel) may be given in vid. |
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Table 284. Pattern: UnknownCorrCond
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No documentation available. |
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Table 285. Pattern: Var
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Normal bound variable (deBruijn index). Their types are given in quantification - see For, Fraenkel |
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