Theorems · Definition · category theory

CategoryTheory.Limits.Multicofork.ofSigmaCofork

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.Limits.MultispanShape} →
      {I : CategoryTheory.Limits.MultispanIndex J C} →
        {c : CategoryTheory.Limits.Cofan I.left} →
          {hc : CategoryTheory.Limits.IsColimit c} →
            {d : CategoryTheory.Limits.Cofan I.right} →
              CategoryTheory.Limits.Cofork (I.fstSigmaMapOfIsColimit d hc) (I.sndSigmaMapOfIsColimit d hc) →
                CategoryTheory.Limits.Multicofork I

Given a cofork over ∐ I.left ⇉ ∐ I.right, we may obtain a multicofork.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

6 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category