Theorems · Theorem · category theory

CategoryTheory.Limits.Multicoequalizer.hom_ext

∀ {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] {W : C}
  (i j : CategoryTheory.Limits.multicoequalizer I ⟶ W),
  (∀ (b : J.R),
      CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multicoequalizer.π I b) i =
        CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multicoequalizer.π I b) j) →
    i = j

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

8 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasMulticoequalizer