Theorems · Theorem · category theory

CategoryTheory.equivToOverUnit_unitIso

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C],
  (CategoryTheory.equivToOverUnit C).unitIso =
    CategoryTheory.NatIso.ofComponents
      (fun X =>
        CategoryTheory.Over.isoMk
          (CategoryTheory.Iso.refl
            ((CategoryTheory.Functor.id (CategoryTheory.Over (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))).obj
                X).left)
          ⋯)
      ⋯

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory