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At: trivial-arrows 2 1 1

1. k:
2. L: List
3. i: ||L||
4. L[i] < k
5. n:
6. k-1n
7. G: {s:(n List)| ||s|| = k & (x,y:||s||. x < y s[x] < s[y]) }||L||
increasing(x.x;L[i])

By: BackThru Thm* k:. increasing(i.i;k)

Generated subgoals:

None

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listintnatural_numbersubtractless_thanset
lambdafunctionequalimpliesand
all

(17steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc