Theorems · Theorem · category theory

CategoryTheory.Limits.prod.map_id_id

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C}
  [inst_1 : CategoryTheory.Limits.HasBinaryProduct X Y],
  CategoryTheory.Limits.prod.map (CategoryTheory.CategoryStruct.id X) (CategoryTheory.CategoryStruct.id Y) =
    CategoryTheory.CategoryStruct.id (X ⨯ Y)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

1 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProduct