let T be InsType of SCM ; :: thesis: ( T = 1 implies JumpParts T = {{} } )
assume A1: T = 1 ; :: 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 such that
W1: x = JumpPart I and
W2: InsCode I = T ;
consider a, b being Data-Location such that
W3: I = a := b by A1, W2, AMI_5:47;
x = {} by W1, W3, RECDEF_2:def 2;
hence x in {{} } by TARSKI:def 1; :: thesis: verum

end;

set a = the Data-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 Data-Location := the Data-Location ) by RECDEF_2:def 2;
InsCode (the Data-Location := the Data-Location ) = 1 by RECDEF_2:def 1;
hence x in JumpParts T by X, A1; :: thesis: verum