feat(Combinatorics): a clique has size at most the chromatic number #32654
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
There already exists a version of this lemma for cliques given by a set, but it's impractical to provide an explicit clique on an explicit graph as a set, rather than an indexed family, especially because computing the size of the set would then involve proving that it is the range of an injective function, even though being a clique already implies being injective!
Application: google-deepmind/formal-conjectures#1369
From FormalConjectures