Theorems · Theorem · combinatorics
SimpleGraph.coe_recolorOfCardLE
∀ {V : Type u} (G : SimpleGraph V) {α : Type u_2} {β : Type u_3} [inst : Fintype α] [inst_1 : Fintype β]
(hαβ : Fintype.card α ≤ Fintype.card β),
⇑(G.recolorOfCardLE hαβ) = (SimpleGraph.Embedding.completeGraph ⋯.some).toHom.comp- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- SimpleGraphstatement and proof · cited by 3,072
- Fintype.cardstatement and proof · cited by 1,386
- Function.Embeddingstatement · cited by 988
- Nonempty.somestatement · cited by 340
- SimpleGraph.completeGraphstatement · cited by 49
- SimpleGraph.Coloringstatement · cited by 44
- SimpleGraph.Hom.compstatement · cited by 20
- SimpleGraph.Embedding.toHomstatement · cited by 17
- SimpleGraph.Embedding.completeGraphstatement · cited by 9
- Function.Embedding.nonempty_of_card_lestatement · cited by 6
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