Theorems · Inductive type · category theory
SimplexCategoryGenRel.degeneracies
CategoryTheory.MorphismProperty SimplexCategoryGenRel
A morphism is called a degeneracy if it is a σ i for some i : Fin (n + 1).
- Cited by
- 4 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 by8
Results whose statement or proof uses this declaration.
- SimplexCategoryGenRel.P_σproof · cited by 5
- SimplexCategoryGenRel.generatorsproof · cited by 5
- SimplexCategoryGenRel.degeneracies.casesOnstatement and proof · cited by 4
- SimplexCategoryGenRel.hom_inductionproof · cited by 1
- SimplexCategoryGenRel.exists_normal_form_P_σproof · cited by 0
- SimplexCategoryGenRel.degeneracies.recOnstatement and proof · cited by 0
- SimplexCategoryGenRel.hom_induction'proof · cited by 0
- SimplexCategoryGenRel.isSplitEpi_P_σproof · cited by 0