Theorems · Theorem · category theory

CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiFork_unitIso_inv_app_hom

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
  (I : CategoryTheory.Limits.MulticospanIndex J C) [inst_1 : CategoryTheory.Limits.HasProduct I.left]
  [inst_2 : CategoryTheory.Limits.HasProduct I.right] (X : CategoryTheory.Limits.Multifork I),
  (I.multiforkEquivPiFork.unitIso.inv.app X).hom = CategoryTheory.CategoryStruct.id X.pt

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProductCategoryTheory.Limits.HasProduct