Theorems · Definition · category theory

CategoryTheory.CosimplicialObject.Augmented.whiskering

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    (D : Type u') →
      [inst_1 : CategoryTheory.Category.{v', u'} D] →
        CategoryTheory.Functor (CategoryTheory.Functor C D)
          (CategoryTheory.Functor (CategoryTheory.CosimplicialObject.Augmented C)
            (CategoryTheory.CosimplicialObject.Augmented D))

Functor composition induces a functor on augmented cosimplicial objects.

Defined in

Mathlib.AlgebraicTopology.SimplicialObject.Basic

Cited by

3 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category