Theorems · Theorem · category theory

CategoryTheory.Limits.Multicoequalizer.condition_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MultispanShape}
  (I : CategoryTheory.Limits.MultispanIndex J C) [inst_1 : CategoryTheory.Limits.HasMulticoequalizer I] (a : J.L)
  {Z : C} (h : CategoryTheory.Limits.multicoequalizer I ⟶ Z),
  CategoryTheory.CategoryStruct.comp (I.fst a)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multicoequalizer.π I (J.fst a)) h) =
    CategoryTheory.CategoryStruct.comp (I.snd a)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multicoequalizer.π I (J.snd a)) h)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasMulticoequalizer