Theorems · Definition · combinatorics
SimpleGraph.TripartiteFromTriangles.toTriangle
{α : Type u_1} →
{β : Type u_2} → {γ : Type u_3} → [DecidableEq α] → [DecidableEq β] → [DecidableEq γ] → α × β × γ ↪ Finset (α ⊕ β ⊕ γ)The map that turns a triangle index into an explicit triangle.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Function.Embeddingstatement · cited by 988
- Sum3.in₀proof · cited by 18
- Sum3.in₁proof · cited by 18
- Sum3.in₂proof · cited by 18
Cited by12
Results whose statement or proof uses this declaration.
- SimpleGraph.TripartiteFromTriangles.toTriangle_applystatement and proof · cited by 4
- SimpleGraph.TripartiteFromTriangles.toTriangle_is3Cliquestatement · cited by 3
- SimpleGraph.TripartiteFromTriangles.card_trianglesproof · cited by 2
- SimpleGraph.TripartiteFromTriangles.cliqueSet_eq_imagestatement · cited by 2
- SimpleGraph.TripartiteFromTriangles.is3Clique_iffstatement and proof · cited by 2
- SimpleGraph.TripartiteFromTriangles.map_toTriangle_disjointstatement and proof · cited by 2
- SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_imagestatement and proof · cited by 1
- SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_mapstatement and proof · cited by 1
- SimpleGraph.TripartiteFromTriangles.exists_mem_toTrianglestatement · cited by 1
- SimpleGraph.TripartiteFromTriangles.toTriangle_surjOnstatement · cited by 0
- SimpleGraph.TripartiteFromTriangles.farFromTriangleFreeproof · cited by 0
- SimpleGraph.TripartiteFromTriangles.locallyLinearproof · cited by 0