let T be InsType of SCM+FSA; :: thesis: ( T = 3 implies JumpParts T = {{}} )
assume A1: T = 3 ; :: 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 = SubFrom (a,b) by A1, W2, SCMFSA_2:56;
x = {} by W1, Th20, 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 (SubFrom ( the Int-Location , the Int-Location )) by Th20;
InsCode (SubFrom ( the Int-Location , the Int-Location )) = 3 by SCMFSA_2:44;
hence x in JumpParts T by X, A1; :: thesis: verum