let p be preProgram of SCM+FSA ; for ic being Instruction of SCM+FSA
for fa being FinSeq-Location
for b, a being Int-Location st ic in rng p & ( ic = b := fa,a or ic = fa,a := b ) holds
fa in UsedInt*Loc p
let ic be Instruction of SCM+FSA ; for fa being FinSeq-Location
for b, a being Int-Location st ic in rng p & ( ic = b := fa,a or ic = fa,a := b ) holds
fa in UsedInt*Loc p
let fa be FinSeq-Location ; for b, a being Int-Location st ic in rng p & ( ic = b := fa,a or ic = fa,a := b ) holds
fa in UsedInt*Loc p
let b, a be Int-Location ; ( ic in rng p & ( ic = b := fa,a or ic = fa,a := b ) implies fa in UsedInt*Loc p )
assume that
A1:
ic in rng p
and
A2:
( ic = b := fa,a or ic = fa,a := b )
; fa in UsedInt*Loc p
A3:
UsedInt*Loc ic = {fa}
by A2, SF_MASTR:37;
UsedInt*Loc ic c= UsedInt*Loc p
by A1, SF_MASTR:39;
hence
fa in UsedInt*Loc p
by A3, ZFMISC_1:37; verum