Theorems · Theorem · category theory
CategoryTheory.nerve.edgeMk_id
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (x : C),
CategoryTheory.nerve.edgeMk (CategoryTheory.CategoryStruct.id x) = SSet.Edge.id (CategoryTheory.nerveEquiv.symm x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites19
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
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Equivstatement · cited by 8,337
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.ComposableArrowsstatement · cited by 627
- CategoryTheory.SimplicialObject.σproof · cited by 106
- CategoryTheory.nervestatement and proof · cited by 68
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