Theorems · Definition · category theory

CategoryTheory.Over.cartesianMonoidalCategory

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [CategoryTheory.Limits.HasPullbacks C] → (X : C) → CategoryTheory.CartesianMonoidalCategory (CategoryTheory.Over X)

A choice of finite products of Over X given by Limits.pullback.

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Over

Cited by

68 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks