Theorems · Theorem · category theory

CategoryTheory.Limits.IsColimit.hom_desc

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} {t : CategoryTheory.Limits.Cocone F} (h : CategoryTheory.Limits.IsColimit t) {W : C}
  (m : t.pt ⟶ W),
  m = h.desc { pt := W, ι := CategoryTheory.NatTrans.mk' (fun b => CategoryTheory.CategoryStruct.comp (t.ι.app b) m) ⋯ }

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category