Theorems · Definition · category theory

CategoryTheory.CartesianMonoidalCategory.ofReflective

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₁, u₂} D] →
        (i : CategoryTheory.Functor D C) →
          [CategoryTheory.CartesianMonoidalCategory C] →
            [CategoryTheory.Reflective i] → CategoryTheory.CartesianMonoidalCategory D

Given a reflective subcategory D of a category with chosen finite products C, D admits finite chosen products.

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.Reflective