Theorems · Theorem · combinatorics
SimpleGraph.TripartiteFromTriangles.toTriangle_apply
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : DecidableEq α] [inst_1 : DecidableEq β] [inst_2 : DecidableEq γ]
(x : α × β × γ), SimpleGraph.TripartiteFromTriangles.toTriangle x = {Sum3.in₀ x.1, Sum3.in₁ x.2.1, Sum3.in₂ x.2.2}- Cited by
- 4 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Function.Embeddingstatement · cited by 988
- Sum3.in₀statement · cited by 18
- Sum3.in₁statement · cited by 18
- Sum3.in₂statement · cited by 18
- SimpleGraph.TripartiteFromTriangles.toTrianglestatement and proof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.TripartiteFromTriangles.toTriangle_is3Cliqueproof · cited by 3
- SimpleGraph.TripartiteFromTriangles.map_toTriangle_disjointproof · cited by 2
- SimpleGraph.TripartiteFromTriangles.exists_mem_toTriangleproof · cited by 1
- SimpleGraph.TripartiteFromTriangles.farFromTriangleFreeproof · cited by 0