Theorems · Theorem · combinatorics
SimpleGraph.completeMultipartiteGraph.colorable
∀ {ι : Type u_4} (V : ι → Type u_5) [inst : Fintype ι],
(SimpleGraph.completeMultipartiteGraph V).Colorable (Fintype.card ι)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement · cited by 1,386
- SimpleGraph.Colorablestatement · cited by 67
- SimpleGraph.Coloring.colorableproof · cited by 12
- SimpleGraph.completeMultipartiteGraphstatement · cited by 11
- SimpleGraph.completeMultipartiteGraph.coloringproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.completeMultipartiteGraph.chromaticNumberproof · cited by 0