(42steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: sqrt prime irrational 1 1 1 2

1. p:
2. prime(p)
3. 0 < p
4. m:
5. m1:. m1 < m (n:. m1m1 = pnn n = 0)
6. n:
7. mm = pnn
8. n = 0
9. m = (m p)p+(m mod p)
10. (m mod p) < p
11. n@0:. nn = pn@0n@0 n@0 = 0
n = 0

By: HypSubst -3 -5

Generated subgoal:

17. ((m p)p+(m mod p))((m p)p+(m mod p)) = pnn
8. n = 0
9. m = (m p)p+(m mod p)
10. (m mod p) < p
11. n@0:. nn = pn@0n@0 n@0 = 0
n = 0
21 steps

About:
intnatural_numberaddmultiplyless_thanequalimpliesall

(42steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc