Theorems · Theorem · category theory

CategoryTheory.GlueData.hasColimit_mapGlueData_diagram

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v, u₁} C] {C' : Type u₂} [inst_1 : CategoryTheory.Category.{v, u₂} C']
  (D : CategoryTheory.GlueData C) (F : CategoryTheory.Functor C C')
  [CategoryTheory.Limits.HasMulticoequalizer D.diagram] [CategoryTheory.Limits.PreservesColimit D.diagram.multispan F]
  [inst_4 : ∀ (i j k : D.J), CategoryTheory.Limits.PreservesLimit (CategoryTheory.Limits.cospan (D.f i j) (D.f i k)) F],
  CategoryTheory.Limits.HasMulticoequalizer (D.mapGlueData F).diagram

Defined in

Mathlib.CategoryTheory.GlueData

Cited by

4 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasMulticoequalizerCategoryTheory.Limits.PreservesColimitCategoryTheory.Limits.PreservesLimit