(30steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: Ramsey-base-case 1 2 1
1. L: List
2. n:
3. sum(L[i]-1 | i < ||L||)+1n
4. G: {s:(n List)| ||s|| = 1 & (x,y:||s||. x < y s[x] < s[y]) }||L||
5. c: ||L||
6. f:(L[c]n). increasing(f;L[c]) & (s:L[c]. G([(f(s))]) = c)
f:(L[c]n). increasing(f;L[c]) & (s:L[c] List. ||s|| = 1 (x,y:||s||. x < y s[x] < s[y]) G(map(f;s)) = c)
By: ParallelOp -1
Generated subgoals:

16. f: L[c]n
7. increasing(f;L[c]) & (s:L[c]. G([(f(s))]) = c)
increasing(f;L[c]) & (s:L[c] List. ||s|| = 1 (x,y:||s||. x < y s[x] < s[y]) G(map(f;s)) = c)		3 steps
 
26. f: L[c]n
7. increasing(f;L[c]) & (s:L[c]. G([(f(s))]) = c)
8. f1: L[c]n
9. increasing(f1;L[c])
10. s: L[c] List
11. ||s|| = 1
12. x,y:||s||. x < y s[x] < s[y]
map(f1;s) {s:(n List)| ||s|| = 1 & (x,y:||s||. x < y s[x] < s[y]) }		1 step

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(30steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc