Theorems · Theorem · category theory

CategoryTheory.toOverIsoToOverUnit_hom_app_left

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  (X : C),
  (CategoryTheory.toOverIsoToOverUnit.hom.app X).left =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.Hom.left
        ((CategoryTheory.equivToOverUnit C).unit.app
          ((CategoryTheory.toOver (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).obj X)))
      (CategoryTheory.SemiCartesianMonoidalCategory.fst X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory