Theorems · Theorem · category theory

CategoryTheory.nerveMap_app

∀ {C D : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v, u} D]
  (F : CategoryTheory.Functor C D) (x : SimplexCategoryᵒᵖ),
  (CategoryTheory.nerveMap F).app x = TypeCat.ofHom fun X => (F.mapComposableArrows (Opposite.unop x).len).obj X

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Nerve

Cited by

2 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category