let a, b, c be Int-Location ; :: thesis: for f being FinSeq-Location holds f,c := b does_not_destroy a
let f be FinSeq-Location ; :: thesis: f,c := b does_not_destroy a

now

let e be Int-Location ; :: thesis: for h being FinSeq-Location holds
( a := e <> f,c := b & AddTo a,e <> f,c := b & SubFrom a,e <> f,c := b & MultBy a,e <> f,c := b & Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
let h be FinSeq-Location ; :: thesis: ( a := e <> f,c := b & AddTo a,e <> f,c := b & SubFrom a,e <> f,c := b & MultBy a,e <> f,c := b & Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
A1: InsCode (f,c := b) = 10 by SCMFSA_2:51;
hence a := e <> f,c := b by SCMFSA_2:42; :: thesis: ( AddTo a,e <> f,c := b & SubFrom a,e <> f,c := b & MultBy a,e <> f,c := b & Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
thus AddTo a,e <> f,c := b by A1, SCMFSA_2:43; :: thesis: ( SubFrom a,e <> f,c := b & MultBy a,e <> f,c := b & Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
thus SubFrom a,e <> f,c := b by A1, SCMFSA_2:44; :: thesis: ( MultBy a,e <> f,c := b & Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
thus MultBy a,e <> f,c := b by A1, SCMFSA_2:45; :: thesis: ( Divide e,a <> f,c := b & Divide a,e <> f,c := b & a := h,e <> f,c := b & a :=len h <> f,c := b )
thus ( Divide e,a <> f,c := b & Divide a,e <> f,c := b ) by A1, SCMFSA_2:46; :: thesis: ( a := h,e <> f,c := b & a :=len h <> f,c := b )
thus a := h,e <> f,c := b by A1, SCMFSA_2:50; :: thesis: a :=len h <> f,c := b
thus a :=len h <> f,c := b by A1, SCMFSA_2:52; :: thesis: verum

end;

hence f,c := b does_not_destroy a by Def3; :: thesis: verum