Theorems · Theorem · category theory

CategoryTheory.Over.toOverSectionsAdj_unit_app

∀ {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)]
  [inst_4 : CategoryTheory.BraidedCategory C] (X : C),
  (CategoryTheory.Over.toOverSectionsAdj I).unit.app X =
    { toFun := CategoryTheory.Over.sectionsCurry, invFun := CategoryTheory.Over.sectionsUncurry, left_inv := ⋯,
        right_inv := ⋯ }
      (CategoryTheory.CategoryStruct.id ((CategoryTheory.toOver I).obj X))

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Sections

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.ClosedCategoryTheory.ChosenPullbacksAlongCategoryTheory.BraidedCategory