let R be Ring; :: thesis: for T being InsType of the InstructionsF of (SCM R) st T = 4 holds
JumpParts T = {{}}
let T be InsType of the InstructionsF of (SCM R); :: thesis: ( T = 4 implies JumpParts T = {{}} )
assume A1: T = 4 ; :: 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 R) such that
A2: x = JumpPart I and
A3: InsCode I = T ;
consider a, b being Data-Location of R such that
A4: I = MultBy (a,b) by A1, A3, Th15;
x = {} by A2, A4;
hence x in {{}} by TARSKI:def 1; :: thesis: verum

end;

set a = the Data-Location of R;
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 (MultBy ( the Data-Location of R, the Data-Location of R)) ;
InsCode (MultBy ( the Data-Location of R, the Data-Location of R)) = 4 ;
hence x in JumpParts T by A5, A1; :: thesis: verum