Theorems · Inductive type · category theory
SimplexCategoryGenRel.faces
CategoryTheory.MorphismProperty SimplexCategoryGenRel
A morphism is called a face if it is a δ i for some i : Fin (n + 2).
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- SimplexCategoryGenRelstatement · cited by 39
Cited by9
Results whose statement or proof uses this declaration.
- SimplexCategoryGenRel.faces.casesOnstatement and proof · cited by 5
- SimplexCategoryGenRel.generatorsproof · cited by 5
- SimplexCategoryGenRel.P_δproof · cited by 5
- SimplexCategoryGenRel.hom_inductionproof · cited by 1
- SimplexCategoryGenRel.eq_or_len_le_of_P_δproof · cited by 0
- SimplexCategoryGenRel.exists_P_σ_P_δ_factorizationproof · cited by 0
- SimplexCategoryGenRel.faces.recOnstatement and proof · cited by 0
- SimplexCategoryGenRel.hom_induction'proof · cited by 0
- SimplexCategoryGenRel.isSplitMono_P_δproof · cited by 0