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 ;
hereby :: according to TARSKI:def 3,XBOOLE_0:def 10 :: thesis: {{}} c= JumpParts T
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;
set a = the Element of SCM-Data-Loc ;
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