Theorems · Definition · category theory

CategoryTheory.Limits.isLimitOfOp

{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.IsColimit t.op → CategoryTheory.Limits.IsLimit t

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

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category