Theorems · Theorem · category theory

CategoryTheory.Limits.Multiequalizer.hom_ext

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
  (I : CategoryTheory.Limits.MulticospanIndex J C) [inst_1 : CategoryTheory.Limits.HasMultiequalizer I] {W : C}
  (i j : W ⟶ CategoryTheory.Limits.multiequalizer I),
  (∀ (a : J.L),
      CategoryTheory.CategoryStruct.comp i (CategoryTheory.Limits.Multiequalizer.ι I a) =
        CategoryTheory.CategoryStruct.comp j (CategoryTheory.Limits.Multiequalizer.ι I a)) →
    i = j

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

12 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasMultiequalizer