Proof of `Coloring, chromatic number and clique cover` (2nd statement)
groundedproofs/Lax799700Proofs/Bridge/Coloring.lean · lax-799700
What this proof establishes
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Membership from the library's existential second-order definition of ChromaticNumber; hardness from the library's reduction out of ThreeCol, which is NP-hard by the catalog’s statement for it. Both are transported to the catalog's problems along the agreements.