Theorems · Theorem · combinatorics
SimpleGraph.eq_top_of_chromaticNumber_eq_card
∀ {V : Type u} {G : SimpleGraph V} [inst : Fintype V], G.chromaticNumber = ↑(Fintype.card V) → G = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- ENatstatement and proof · cited by 4,985
- Finset.univproof · cited by 3,473
- SimpleGraphstatement and proof · cited by 3,072
- Fintype.cardstatement and proof · cited by 1,386
- SimpleGraph.Adjproof · cited by 1,346
- Finset.eraseproof · cited by 455
- SimpleGraph.Colorableproof · cited by 67
- Fintype.card_congr'proof · cited by 60
- Fintype.card_uniqueproof · cited by 59
- SimpleGraph.chromaticNumberstatement and proof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.chromaticNumber_eq_card_iffproof · cited by 0