Theorems · Theorem · category theory

CategoryTheory.Limits.Multiequalizer.condition

∀ {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] (b : J.R),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multiequalizer.ι I (J.fst b)) (I.fst b) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Multiequalizer.ι I (J.snd b)) (I.snd b)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

3 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasMultiequalizer