Theorems · Definition · category theory

CategoryTheory.forgetAdjToOver

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (X : C) → CategoryTheory.Over.forget X ⊣ CategoryTheory.toOver X

The functor toOver X is the right adjoint to the functor Over.forget X.

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

7 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory