Theorems · Definition · category theory

CategoryTheory.Limits.IsColimit.op

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u} →
      [inst_1 : CategoryTheory.Category.{v, u} C] →
        {F : CategoryTheory.Functor J C} →
          {t : CategoryTheory.Limits.Cocone F} → CategoryTheory.Limits.IsColimit t → CategoryTheory.Limits.IsLimit t.op

If t : Cocone F is a colimit cocone, then t.op : Cone F.op is a limit cone.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

14 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category