Theorems · Definition · category theory

CategoryTheory.Iso.prod

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → {P Q : C} → {S T : D} → (P ≅ Q) → (S ≅ T) → ((P, S) ≅ (Q, T))

Construct an isomorphism in C × D out of two isomorphisms in C and D.

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

19 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category