Description: The Ramsey number is a lower bound on the set of all numbers with the Ramsey number property. (Contributed by Mario Carneiro, 20-Apr-2015) (Revised by AV, 14-Sep-2020)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ramval.c | |
|
ramval.t | |
||
Assertion | ramtub | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ramval.c | |
|
2 | ramval.t | |
|
3 | 1 2 | ramcl2lem | |
4 | n0i | |
|
5 | 4 | iffalsed | |
6 | 3 5 | sylan9eq | |
7 | 2 | ssrab3 | |
8 | nn0uz | |
|
9 | 7 8 | sseqtri | |
10 | 9 | a1i | |
11 | infssuzle | |
|
12 | 10 11 | sylan | |
13 | 6 12 | eqbrtrd | |