Theorems · Definition · category theory

CategoryTheory.Limits.isColimitCoconeLeftOpOfCone

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {J : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} J] →
        (F : CategoryTheory.Functor J Cᵒᵖ) →
          {c : CategoryTheory.Limits.Cone F} →
            CategoryTheory.Limits.IsLimit c →
              CategoryTheory.Limits.IsColimit (CategoryTheory.Limits.coconeLeftOpOfCone c)

Turn a limit of F : J ⥤ Cᵒᵖ into a colimit of F.leftOp : Jᵒᵖ ⥤ C.

Defined in

Mathlib.CategoryTheory.Limits.Opposites

Cited by

9 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category