At:
sqrt prime irrational
1
1
1
2
1
1
1
2
1
1
2
1
3
1
1.
p: 

2.
prime(p)
3.
0 < p
4.
m:
5.
m1:
. m1 < m 
(
n:
. m1
m1 = p
n
n 
n = 0)
6.
n:
7.
0 = n
n
p
8.
n = 0
9.
m = (m 
p)
p+(m mod p)
10.
(m mod p) < p
11.
n@0:
. n
n = p
n@0
n@0 
n@0 = 0
12.
p | ((m mod p)
(m mod p))
13.
c:
14.
(m mod p) = 0
15.
c < 1
16.
c < 0
17.
(m 
p) = 0
n = 0
By:
Inst
Thm*
a,b:
. 0 < a
b
[n;p]
THEN
Inst
Thm*
a,b:
. 0 < a
b
[n;n
p]
Generated subgoals:
None
About: