At: div bounds 2 1
1. n: 

2. x:
(n
n)
(x
n) < n
By:
Inst
Thm*
a:
, n:

. a = (a
n)
n+(a rem n)
[x;n]
THEN
Inst
Thm*
a:
, n:
. 0
(a rem n) & (a rem n) < n
[x;n]
THEN
Inst Thm*
i,j:
. i
j 
-i
-j [x rem n;0]
THEN
Inst
Thm*
i1,i2,j1,j2:
. i1 < j1 
i2
j2 
i1+i2 < j1+j2
[(x
n)
n+(x rem n);-(x rem n);n
n;0]
THEN
Inst
Thm*
a,b:
, n:
. n
a < n
b 
a < b
[x
n;n;n]
Generated subgoals:None
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