let T be InsType of SCM+FSA-Instr; :: thesis: ( ( T = 11 or T = 12 ) implies JumpParts T = {{}} )

assume A1: ( T = 11 or T = 12 ) ; :: thesis: JumpParts T = {{}}

then A2: not T = 0 & ... & not T = 8 ;

set f = the Element of SCM+FSA-Data*-Loc ;

let x be object ; :: according to TARSKI:def 3 :: thesis: ( not x in {{}} or x in JumpParts T )

T in {11,12} by A1, TARSKI:def 2;

then A6: [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] in SCM+FSA-Instr by Th5;

assume x in {{}} ; :: thesis: x in JumpParts T

then x = {} by TARSKI:def 1;

then A7: x = JumpPart [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] ;

InsCode [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] = T ;

hence x in JumpParts T by A7, A6; :: thesis: verum

assume A1: ( T = 11 or T = 12 ) ; :: thesis: JumpParts T = {{}}

then A2: not T = 0 & ... & not T = 8 ;

hereby :: according to TARSKI:def 3,XBOOLE_0:def 10 :: thesis: {{}} c= JumpParts T

set a = the Element of SCM-Data-Loc ;let x be object ; :: thesis: ( x in JumpParts T implies x in {{}} )

assume x in JumpParts T ; :: thesis: x in {{}}

then consider I being Element of SCM+FSA-Instr such that

A3: x = JumpPart I and

A4: InsCode I = T ;

I in { [K,{},<*c1,f1*>] where K is Element of Segm 13, c1 is Element of SCM-Data-Loc , f1 is Element of SCM+FSA-Data*-Loc : K in {11,12} } by A1, A4, Th7, A2;

then consider K being Element of Segm 13, c1 being Element of SCM-Data-Loc , f1 being Element of SCM+FSA-Data*-Loc such that

A5: ( I = [K,{},<*c1,f1*>] & K in {11,12} ) ;

x = {} by A3, A5;

hence x in {{}} by TARSKI:def 1; :: thesis: verum

end;assume x in JumpParts T ; :: thesis: x in {{}}

then consider I being Element of SCM+FSA-Instr such that

A3: x = JumpPart I and

A4: InsCode I = T ;

I in { [K,{},<*c1,f1*>] where K is Element of Segm 13, c1 is Element of SCM-Data-Loc , f1 is Element of SCM+FSA-Data*-Loc : K in {11,12} } by A1, A4, Th7, A2;

then consider K being Element of Segm 13, c1 being Element of SCM-Data-Loc , f1 being Element of SCM+FSA-Data*-Loc such that

A5: ( I = [K,{},<*c1,f1*>] & K in {11,12} ) ;

x = {} by A3, A5;

hence x in {{}} by TARSKI:def 1; :: thesis: verum

set f = the Element of SCM+FSA-Data*-Loc ;

let x be object ; :: according to TARSKI:def 3 :: thesis: ( not x in {{}} or x in JumpParts T )

T in {11,12} by A1, TARSKI:def 2;

then A6: [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] in SCM+FSA-Instr by Th5;

assume x in {{}} ; :: thesis: x in JumpParts T

then x = {} by TARSKI:def 1;

then A7: x = JumpPart [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] ;

InsCode [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] = T ;

hence x in JumpParts T by A7, A6; :: thesis: verum