Theorems · Definition · category theory

CategoryTheory.Limits.MulticospanIndex.toPiForkFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.Limits.MulticospanShape} →
      (I : CategoryTheory.Limits.MulticospanIndex J C) →
        {c : CategoryTheory.Limits.Fan I.left} →
          CategoryTheory.Limits.IsLimit c →
            {d : CategoryTheory.Limits.Fan I.right} →
              (hd : CategoryTheory.Limits.IsLimit d) →
                CategoryTheory.Functor (CategoryTheory.Limits.Multifork I)
                  (CategoryTheory.Limits.Fork (I.fstPiMapOfIsLimit c hd) (I.sndPiMapOfIsLimit c hd))

Multifork.toPiFork 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