let a, b be Int-Location ; for f being FinSeq-Location holds not f :=<0,...,0> b destroys a
let f be FinSeq-Location ; not f :=<0,...,0> b destroys a
now let e be
Int-Location ;
for h being FinSeq-Location holds
( a := e <> f :=<0,...,0> b & AddTo (a,e) <> f :=<0,...,0> b & SubFrom (a,e) <> f :=<0,...,0> b & MultBy (a,e) <> f :=<0,...,0> b & Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )let h be
FinSeq-Location ;
( a := e <> f :=<0,...,0> b & AddTo (a,e) <> f :=<0,...,0> b & SubFrom (a,e) <> f :=<0,...,0> b & MultBy (a,e) <> f :=<0,...,0> b & Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )A1:
InsCode (f :=<0,...,0> b) = 12
by SCMFSA_2:29;
hence
a := e <> f :=<0,...,0> b
by SCMFSA_2:18;
( AddTo (a,e) <> f :=<0,...,0> b & SubFrom (a,e) <> f :=<0,...,0> b & MultBy (a,e) <> f :=<0,...,0> b & Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )thus
AddTo (
a,
e)
<> f :=<0,...,0> b
by A1, SCMFSA_2:19;
( SubFrom (a,e) <> f :=<0,...,0> b & MultBy (a,e) <> f :=<0,...,0> b & Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )thus
SubFrom (
a,
e)
<> f :=<0,...,0> b
by A1, SCMFSA_2:20;
( MultBy (a,e) <> f :=<0,...,0> b & Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )thus
MultBy (
a,
e)
<> f :=<0,...,0> b
by A1, SCMFSA_2:21;
( Divide (a,e) <> f :=<0,...,0> b & Divide (e,a) <> f :=<0,...,0> b & a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )thus
(
Divide (
a,
e)
<> f :=<0,...,0> b &
Divide (
e,
a)
<> f :=<0,...,0> b )
by A1, SCMFSA_2:22;
( a := (h,e) <> f :=<0,...,0> b & a :=len h <> f :=<0,...,0> b )thus
a := (
h,
e)
<> f :=<0,...,0> b
by A1, SCMFSA_2:26;
a :=len h <> f :=<0,...,0> bthus
a :=len h <> f :=<0,...,0> b
by A1, SCMFSA_2:28;
verum end;
hence
not f :=<0,...,0> b destroys a
by Def3; verum