Theorems · Definition · category theory

CategoryTheory.Limits.opProdIsoCoprod

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (A B : C) →
      [inst_1 : CategoryTheory.Limits.HasBinaryProduct A B] → Opposite.op (A ⨯ B) ≅ Opposite.op A ⨿ Opposite.op B

The canonical isomorphism from the opposite of the binary product to the coproduct in the opposite category.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Opposites.Products

Cited by

16 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProduct