Theorems · Theorem · category theory

CategoryTheory.Limits.Cocone.extensions_app

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} (c : CategoryTheory.Limits.Cocone F) (x : C),
  c.extensions.app x =
    TypeCat.ofHom fun f => CategoryTheory.CategoryStruct.comp c.ι ((CategoryTheory.Functor.const J).map f.down)

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category