Theorems · Definition · category theory

CategoryTheory.Limits.Pi.mapIso

{β : Type w} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      {f g : β → C} → [inst_1 : CategoryTheory.Limits.HasProductsOfShape β C] → ((b : β) → f b ≅ g b) → (∏ᶜ f ≅ ∏ᶜ g)

Construct an isomorphism between categorical products (indexed by the same type) from a family of isomorphisms between the factors.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Products

Cited by

6 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProductsOfShape