(41steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: Ramsey 1 1 2 1

1. k:
2. 0 < k
3. 0 < k-1 (L: List. 0 < ||L|| (r:. r- > L^k-1))
4. k = 1
5. 0 < 1
6. L: List
7. 0 < ||L||
8. sum(L[i]-1 | i < ||L||)+1- > L^1
9. 0 < sum(L[i]-1 | i < ||L||)+1
1- > L^1

By: BLemma' Thm* k:, L: List, r1,r2:. r1r2 r1- > L^k r2- > L^k

Generated subgoals:

None

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listintnatural_numberaddsubtractless_thanequalimpliesallexists

(41steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc