Theorems · Definition · category theory

CategoryTheory.Equivalence.prod

{A : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} A] →
    {B : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
        {C : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            {D : Type u₄} → [inst_3 : CategoryTheory.Category.{v₄, u₄} D] → (A ≌ B) → (C ≌ D) → (A × C ≌ B × D)

The Cartesian product of two equivalences of categories.

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

16 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category