Theorems · Definition · category theory

CategoryTheory.Limits.IsLimit.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.Cone F} → CategoryTheory.Limits.IsLimit t → CategoryTheory.Limits.IsColimit t.op

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

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