let T be InsType of the InstructionsF of SCM+FSA; :: thesis: ( T = 10 implies JumpParts T = {{}} )
assume A1: T = 10 ; :: thesis: JumpParts T = {{}}

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 Instruction of SCM+FSA such that
A2: x = JumpPart I and
A3: InsCode I = T ;
consider a, b being Int-Location, f being FinSeq-Location such that
A4: I = (f,a) := b by A1, A3, SCMFSA_2:39;
x = {} by A2, A4;
hence x in {{}} by TARSKI:def 1; :: thesis: verum

end;

set a = the Int-Location;
set f = the FinSeq-Location ;
let x be object ; :: 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 A5: x = JumpPart (( the FinSeq-Location , the Int-Location) := the Int-Location) ;
InsCode (( the FinSeq-Location , the Int-Location) := the Int-Location) = 10 ;
hence x in JumpParts T by A5, A1; :: thesis: verum