let T be InsType of SCM+FSA ; :: thesis: ( T = 2 implies JumpParts T = {{} } )
assume A1: T = 2 ; :: 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, b being Int-Location such that
W3: I = AddTo a,b by A1, W2, SCMFSA_2:55;
x = {} by W1, Th19, W3;
hence x in {{} } by TARSKI:def 1; :: thesis: verum
end;
set a = the Int-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 (AddTo the Int-Location ,the Int-Location ) by Th19;
InsCode (AddTo the Int-Location ,the Int-Location ) = 2 by SCMFSA_2:43;
hence x in JumpParts T by X, A1; :: thesis: verum