Theorems · Theorem · category theory

CategoryTheory.Limits.colimit.comp_coconePointUniqueUpToIso_inv_assoc

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {F : CategoryTheory.Functor J C} [inst_2 : CategoryTheory.Limits.HasColimit F] {c : CategoryTheory.Limits.Cocone F}
  (hc : CategoryTheory.Limits.IsColimit c) (j : J) {Z : C} (h : c.pt ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.ι F j)
      (CategoryTheory.CategoryStruct.comp (hc.coconePointUniqueUpToIso (CategoryTheory.Limits.colimit.isColimit F)).inv
        h) =
    CategoryTheory.CategoryStruct.comp (c.ι.app j) h

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimit