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Theorems · Inductive type · combinatorics

SimpleGraph.TripartiteFromTriangles.Rel

{α : Type u_1} → {β : Type u_2} → {γ : Type u_3} → Finset (α × β × γ) → α ⊕ β ⊕ γ → α ⊕ β ⊕ γ → Prop

The underlying relation of the tripartite-from-triangles graph. Two vertices are related iff there exists a triangle index containing them both.

Defined in
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
Cited by
1 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

SimpleGraph.TripartiteFromTriangles.graph · cited by 27TripartiteFromTriangles.g…SimpleGraph.TripartiteFromTriangles.Rel.casesOn · cited by 15Rel.casesOnSimpleGraph.TripartiteFromTriangles.Rel.recOn · cited by 0Rel.recOnSimpleGraph.TripartiteFromTriangles.rel_iff · cited by 0TripartiteFromTriangles.r…Finset · cited by 13712FinsetTripartiteFromTriangles.RelCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Finsetstatement · cited by 13,712

Cited by4

Results whose statement or proof uses this declaration.