Theorems · Definition · category theory
SimplexCategoryGenRel.toSimplexCategory
CategoryTheory.Functor SimplexCategoryGenRel SimplexCategory
The canonical functor from SimplexCategoryGenRel to SimplexCategory, which exists as the
simplicial identities hold in SimplexCategory.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- SimplexCategorystatement · cited by 2,204
- SimplexCategory.δproof · cited by 146
- SimplexCategory.σproof · cited by 78
- SimplexCategoryGenRelstatement · cited by 39
- CategoryTheory.Quotient.liftproof · cited by 11
- FreeSimplexQuiver.homRelproof · cited by 7
- CategoryTheory.Paths.liftproof · cited by 7
- FreeSimplexQuiverproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- SimplexCategoryGenRel.simplicialEvalσ_of_isAdmissiblestatement and proof · cited by 0
- SimplexCategoryGenRel.toSimplexCategory_lenstatement · cited by 0
- SimplexCategoryGenRel.toSimplexCategory_map_δstatement · cited by 0
- SimplexCategoryGenRel.toSimplexCategory_map_σstatement · cited by 0
- SimplexCategoryGenRel.toSimplexCategory_obj_mkstatement · cited by 0
- SimplexCategoryGenRel.isSplitEpi_toSimplexCategory_map_of_P_σstatement and proof · cited by 0
- SimplexCategoryGenRel.isSplitMono_toSimplexCategory_map_of_P_δstatement and proof · cited by 0