(41steps total)
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At:
Ramsey
2
1
2
2
2
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 < k
6.
d:
7.
d1:
. d1 < d
(
L:
List. sum(L[i] | i < ||L||) = d1
0 < ||L||
(
r:
. r- > L^k))
8.
L:
List
9.
sum(L[i] | i < ||L||) = d
10.
0 < ||L||
11.
(
i:
||L||. L[i] < k)
12.
i:
||L||. 2
L[i]
13.
L:
List. sum(L[i] | i < ||L||) = d-1
0 < ||L||
(
r:
. r- > L^k)
14.
i:
||L||.
r:
. r- > L[i--]^k
R:
List. ||R|| = ||L||
& (
i:
||L||. 0 < L[i]
R[i]- > L[i--]^k)
By:
RenameVar `f' -1
THEN
Unfolds [`all`;`exists`] -1
Generated subgoal:
1
14.
f:
i:
||L||
r:
r- > L[i--]^k
R:
List. ||R|| = ||L||
& (
i:
||L||. 0 < L[i]
R[i]- > L[i--]^k)
7
steps
About:
(41steps total)
PrintForm
Definitions
Lemmas
graph
1
2
Sections
Graphs
Doc