Theorems · Theorem · category theory

CategoryTheory.Functor.cocones_map

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  (F : CategoryTheory.Functor J C) {X Y : C} (f : X ⟶ Y),
  F.cocones.map f = TypeCat.ofHom fun g => CategoryTheory.CategoryStruct.comp g ((CategoryTheory.Functor.const J).map f)

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category