Theorems · Definition · category theory

CategoryTheory.Limits.MultispanIndex.toSigmaCoforkFunctor

{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.IsColimit d →
                CategoryTheory.Functor (CategoryTheory.Limits.Multicofork I)
                  (CategoryTheory.Limits.Cofork (I.fstSigmaMapOfIsColimit d hc) (I.sndSigmaMapOfIsColimit d hc))

Multicofork.toSigmaCofork as a functor.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

9 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category