Theorems · Theorem · category theory

CategoryTheory.Limits.MultispanIndex.inj_sndSigmaMapOfIsColimit_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MultispanShape}
  (I : CategoryTheory.Limits.MultispanIndex J C) {c : CategoryTheory.Limits.Cofan I.left}
  (d : CategoryTheory.Limits.Cofan I.right) (hc : CategoryTheory.Limits.IsColimit c) (i : J.L) {Z : C} (h : d.pt ⟶ Z),
  CategoryTheory.CategoryStruct.comp (c.inj i) (CategoryTheory.CategoryStruct.comp (I.sndSigmaMapOfIsColimit d hc) h) =
    CategoryTheory.CategoryStruct.comp (I.snd i) (CategoryTheory.CategoryStruct.comp (d.inj (J.snd i)) h)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

1 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category