Theorems · Definition · category theory

CategoryTheory.prod.associativity

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

The equivalence of categories expressing associativity of products of categories.

Defined in

Mathlib.CategoryTheory.Products.Associator

Cited by

32 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category