Theorems · Definition · category theory
CategoryTheory.nerve.functorOfNerveMap
{C D : Type u} →
[inst : CategoryTheory.SmallCategory C] →
[inst_1 : CategoryTheory.SmallCategory D] →
(CategoryTheory.Nerve.nerveFunctor₂.obj (CategoryTheory.Cat.of C) ⟶
CategoryTheory.Nerve.nerveFunctor₂.obj (CategoryTheory.Cat.of D)) →
CategoryTheory.Functor C DThe functor C ⥤ D that is reconstructed for a morphism
between the 2-truncated nerves.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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 and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Equiv.symmproof · cited by 3,681
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.Catstatement · cited by 884
- SimplexCategory.lenstatement · cited by 542
- CategoryTheory.SmallCategorystatement and proof · cited by 480
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.nerve.nerveFunctor₂_map_functorOfNerveMapstatement and proof · cited by 0
- CategoryTheory.nerve.fullyFaithfulNerveFunctor₂proof · cited by 0
- CategoryTheory.nerve.functorOfNerveMap_mapstatement and proof · cited by 0
- CategoryTheory.nerve.functorOfNerveMap_nerveFunctor₂_mapstatement and proof · cited by 0
- CategoryTheory.nerve.functorOfNerveMap_objstatement and proof · cited by 0