Theorems · Definition · category theory

CategoryTheory.Limits.Multifork.ofPiFork

{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} →
          {d : CategoryTheory.Limits.Fan I.right} →
            {hd : CategoryTheory.Limits.IsLimit d} →
              CategoryTheory.Limits.Fork (I.fstPiMapOfIsLimit c hd) (I.sndPiMapOfIsLimit c hd) →
                CategoryTheory.Limits.Multifork I

Given a fork over ∏ᶜ I.left ⇉ ∏ᶜ I.right, we may obtain a multifork.

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