let T be InsType of SCM+FSA ; :: thesis: ( T = 12 implies JumpParts T = {{} } )
assume A1: T = 12 ; :: thesis: JumpParts T = {{} }
hereby :: according to TARSKI:def 3,XBOOLE_0:def 10 :: thesis: {{} } c= JumpParts T
let x be set ; :: thesis: ( x in JumpParts T implies x in {{} } )
assume x in JumpParts T ; :: thesis: x in {{} }
then consider I being Instruction of SCM+FSA such that
W1: x = JumpPart I and
W2: InsCode I = T ;
consider a being Int-Location , f being FinSeq-Location such that
W3: I = f :=<0,...,0> a by A1, W2, SCMFSA_2:65;
x = {} by W1, Th29, W3;
hence x in {{} } by TARSKI:def 1; :: thesis: verum
end;
set a = the Int-Location ;
set f = the FinSeq-Location ;
let x be set ; :: according to TARSKI:def 3 :: thesis: ( not x in {{} } or x in JumpParts T )
assume x in {{} } ; :: thesis: x in JumpParts T
then x = {} by TARSKI:def 1;
then X: x = JumpPart (the FinSeq-Location :=<0,...,0> the Int-Location ) by Th29;
InsCode (the FinSeq-Location :=<0,...,0> the Int-Location ) = 12 by SCMFSA_2:53;
hence x in JumpParts T by X, A1; :: thesis: verum