let b, a be Int-Location ; :: thesis: for f being FinSeq-Location
for i being Instruction of SCM+FSA st ( i = b := f,a or i = f,a := b ) holds
UsedIntLoc i = {a,b}
let f be FinSeq-Location ; :: thesis: for i being Instruction of SCM+FSA st ( i = b := f,a or i = f,a := b ) holds
UsedIntLoc i = {a,b}
let i be Instruction of SCM+FSA ; :: thesis: ( ( i = b := f,a or i = f,a := b ) implies UsedIntLoc i = {a,b} )
assume A1: ( i = b := f,a or i = f,a := b ) ; :: thesis: UsedIntLoc i = {a,b}
( a in Int-Locations & b in Int-Locations ) by SCMFSA_2:9;
then {a,b} c= Int-Locations by ZFMISC_1:38;
then reconsider ab = {a,b} as Element of Fin Int-Locations by FINSUB_1:def 5;
( InsCode i = 9 or InsCode i = 10 ) by A1, SCMFSA_2:50, SCMFSA_2:51;
then UsedIntLoc i = ab by A1, Def1;
hence UsedIntLoc i = {a,b} ; :: thesis: verum