Theorems · Theorem · category theory

CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctor_map_hom

∀ {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}
  {K₁ K₂ : CategoryTheory.Limits.Cofork (I.fstSigmaMapOfIsColimit d hc) (I.sndSigmaMapOfIsColimit d hc)} (f : K₁ ⟶ K₂),
  ((I.ofSigmaCoforkFunctor hc).map f).hom = f.hom

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category