Theorems · Theorem · category theory

CategoryTheory.Limits.inr_opProdIsoCoprod_inv_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A B : C}
  [inst_1 : CategoryTheory.Limits.HasBinaryProduct A B] {Z : Cᵒᵖ} (h : Opposite.op (A ⨯ B) ⟶ Z),
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.opProdIsoCoprod A B).inv h) =
    CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.prod.snd.op h

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Opposites.Products

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProduct