let a be Int-Location ; for l being Element of NAT holds not goto l destroys a
let l be Element of NAT ; not goto l destroys a
now let b be
Int-Location ;
for r being Element of NAT
for f being FinSeq-Location holds
( a := b <> goto l & AddTo (a,b) <> goto l & SubFrom (a,b) <> goto l & MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )let r be
Element of
NAT ;
for f being FinSeq-Location holds
( a := b <> goto l & AddTo (a,b) <> goto l & SubFrom (a,b) <> goto l & MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )let f be
FinSeq-Location ;
( a := b <> goto l & AddTo (a,b) <> goto l & SubFrom (a,b) <> goto l & MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
a := b <> goto l
;
( AddTo (a,b) <> goto l & SubFrom (a,b) <> goto l & MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
AddTo (
a,
b)
<> goto l
;
( SubFrom (a,b) <> goto l & MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
SubFrom (
a,
b)
<> goto l
;
( MultBy (a,b) <> goto l & Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
MultBy (
a,
b)
<> goto l
;
( Divide (a,b) <> goto l & Divide (b,a) <> goto l & a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
(
Divide (
a,
b)
<> goto l &
Divide (
b,
a)
<> goto l )
;
( a := (f,b) <> goto l & a :=len f <> goto l & a :==1 <> goto l )thus
a := (
f,
b)
<> goto l
;
( a :=len f <> goto l & a :==1 <> goto l )thus
a :=len f <> goto l
;
a :==1 <> goto lthus
a :==1 <> goto l
;
verum end;
hence
not goto l destroys a
by Def3; verum