Theorems · Definition · category theory

CategoryTheory.Over.toOverSectionsAdj

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (I : C) →
        [inst_2 : CategoryTheory.Closed I] →
          [inst_3 : CategoryTheory.ChosenPullbacksAlong (CategoryTheory.curryRightUnitorHom I)] →
            [CategoryTheory.BraidedCategory C] → CategoryTheory.toOver I ⊣ CategoryTheory.Over.sections I

The adjunction between the toOver functor and the sections functor.

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Sections

Cited by

2 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.ClosedCategoryTheory.ChosenPullbacksAlongCategoryTheory.BraidedCategory