Theorems · Theorem · combinatorics
SimpleGraph.chromaticNumber_top_eq_top_of_infinite
∀ (V : Type u_4) [Infinite V], ⊤.chromaticNumber = ⊤
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- ENatstatement · cited by 4,985
- SimpleGraphstatement · cited by 3,072
- Infinitestatement and proof · cited by 352
- SimpleGraph.Colorableproof · cited by 67
- SimpleGraph.chromaticNumberstatement and proof · cited by 54
- SimpleGraph.Coloringproof · cited by 44
- not_injective_infinite_finiteproof · cited by 7
- SimpleGraph.chromaticNumber_ne_top_iff_existsproof · cited by 4
- SimpleGraph.Hom.injective_of_top_homproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.chromaticNumber_top_eq_enat_cardproof · cited by 0