Theorems · Theorem · category theory
CategoryTheory.nerve.edgeMk_edge
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {x y : C} (f : x ⟶ y),
(CategoryTheory.nerve.edgeMk f).edge = CategoryTheory.ComposableArrows.mk₁ f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- Equiv.symmstatement · cited by 3,681
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.ComposableArrowsstatement · cited by 627
- CategoryTheory.ComposableArrows.mk₁statement · cited by 350
- CategoryTheory.nervestatement · cited by 68
- SSet.Edge.edgestatement · cited by 30
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