Theorems · Theorem · category theory

CategoryTheory.Limits.IsColimit.comp_coconePointUniqueUpToIso_hom

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} {s t : CategoryTheory.Limits.Cocone F} (P : CategoryTheory.Limits.IsColimit s)
  (Q : CategoryTheory.Limits.IsColimit t) (j : J),
  CategoryTheory.CategoryStruct.comp (s.ι.app j) (P.coconePointUniqueUpToIso Q).hom = t.ι.app j

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

45 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category