Nuprl - Proof: sqrt prime irrational 1 1 1 1 1 2 1 1 1

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At: sqrt prime irrational 1 1 1 1 1 2 1 1 1

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. mn
12. 0 < nn
13. nmnn
14. mmmn
15. mn = nm
16. p = 1

2p

By: Assert (prime(1))

Generated subgoals:

1 prime(1) 2 steps

2 17. prime(1)
2p 1 step

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