Theorems · Theorem · category theory

CategoryTheory.Limits.ColimitPresentation.map_diag

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type w} [inst_1 : CategoryTheory.Category.{t, w} J]
  {X : C} (P : CategoryTheory.Limits.ColimitPresentation J X) {D : Type u_1}
  [inst_2 : CategoryTheory.Category.{v_1, u_1} D] (F : CategoryTheory.Functor C D)
  [inst_3 : CategoryTheory.Limits.PreservesColimitsOfShape J F], (P.map F).diag = P.diag.comp F

Defined in

Mathlib.CategoryTheory.Limits.Presentation

Cited by

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Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.PreservesColimitsOfShape