Theorems · Theorem · category theory
SimplexCategory.const_eq_id
{ len := 0 }.const { len := 0 } 0 = CategoryTheory.CategoryStruct.id { len := 0 }- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, 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.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- SimplexCategorystatement · cited by 2,204
- SimplexCategory.lenstatement and proof · cited by 542
- SimplexCategory.Hom.toOrderHomproof · cited by 111
- OrderHom.extproof · cited by 55
- SimplexCategory.conststatement and proof · cited by 47
- SimplexCategory.Hom.extproof · cited by 40
- OrderHom.id_coeproof · cited by 14
Cited by6
Results whose statement or proof uses this declaration.
- Rep.standardComplex.forget₂ToModuleCatHomotopyEquiv_f_0_eqproof · cited by 2
- SSet.yonedaEquiv_constproof · cited by 1
- SSet.spine_δ₀proof · cited by 1
- CategoryTheory.CosimplicialObject.augment_hom_zeroproof · cited by 0
- SSet.StrictSegalCore.spineToSimplex_spineproof · cited by 0
- CategoryTheory.SimplicialObject.augment_hom_zeroproof · cited by 0