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Theorems · Theorem · combinatorics

SimpleGraph.TripartiteFromTriangles.toTriangle_is3Clique

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {t : Finset (α × β × γ)} {x : α × β × γ} [inst : DecidableEq α]
  [inst_1 : DecidableEq β] [inst_2 : DecidableEq γ],
  x ∈ t → (SimpleGraph.TripartiteFromTriangles.graph t).IsNClique 3 (SimpleGraph.TripartiteFromTriangles.toTriangle x)
Defined in
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
Cited by
3 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqDecidableEqDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.TripartiteFromTriangles.is3Clique_iff · cited by 2TripartiteFromTriangles.i…SimpleGraph.TripartiteFromTriangles.locallyLinear · cited by 0TripartiteFromTriangles.l…SimpleGraph.TripartiteFromTriangles.farFromTriangleFree · cited by 0TripartiteFromTriangles.f…DFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetFunction.Embedding · cited by 988Function.EmbeddingSimpleGraph.IsNClique · cited by 64SimpleGraph.IsNCliqueSimpleGraph.TripartiteFromTriangles.graph · cited by 27TripartiteFromTriangles.g…SimpleGraph.TripartiteFromTriangles.toTriangle · cited by 12TripartiteFromTriangles.t…SimpleGraph.TripartiteFromTriangles.toTriangle_apply · cited by 4TripartiteFromTriangles.t…TripartiteFromTriangles.toTri…CITED BYCITES

Cites7

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Cited by3

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