Theorems · Definition · category theory

CategoryTheory.Limits.Cofan.IsColimit.op

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {α : Type u_1} →
      {Z : α → C} →
        {c : CategoryTheory.Limits.Cofan Z} → CategoryTheory.Limits.IsColimit c → CategoryTheory.Limits.IsLimit c.op

If a Cofan is colimit, then its opposite is limit.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Opposites.Products

Cited by

4 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category