let T be InsType of SCM+FSA-Instr; :: thesis: ( ( T = 11 or T = 12 ) implies JumpParts T = {{}} )
assume A1: ( T = 11 or T = 12 ) ; :: 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 Element of SCM+FSA-Instr such that
A2: x = JumpPart I and
A3: InsCode I = T ;
I in { [K,{},<*c1,f1*>] where K is Element of Segm 13, c1 is Element of SCM-Data-Loc , f1 is Element of SCM+FSA-Data*-Loc : K in {11,12} } by A1, A3, Th7;
then consider K being Element of Segm 13, c1 being Element of SCM-Data-Loc , f1 being Element of SCM+FSA-Data*-Loc such that
A4: ( I = [K,{},<*c1,f1*>] & K in {11,12} ) ;
x = {} by A2, A4, RECDEF_2:def 2;
hence x in {{}} by TARSKI:def 1; :: thesis: verum
end;
set a = the Element of SCM-Data-Loc ;
set f = the Element of SCM+FSA-Data*-Loc ;
let x be set ; :: according to TARSKI:def 3 :: thesis: ( not x in {{}} or x in JumpParts T )
T in {11,12} by A1, TARSKI:def 2;
then A5: [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] in SCM+FSA-Instr by Th5;
assume x in {{}} ; :: thesis: x in JumpParts T
then x = {} by TARSKI:def 1;
then A6: x = JumpPart [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] ;
InsCode [T,{},<* the Element of SCM-Data-Loc , the Element of SCM+FSA-Data*-Loc *>] = T ;
hence x in JumpParts T by A6, A5; :: thesis: verum