Theorems · Definition · category theory

CategoryTheory.Limits.prod

{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → (X Y : C) → [CategoryTheory.Limits.HasBinaryProduct X Y] → C

If we have a product of X and Y, we can access it using prod X Y or X ⨯ Y.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

364 results in Mathlib

Foundations

Depth 15 from the axioms, rests on 83 definitions · uses propext, Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProduct