Theorems · Definition · category theory

CategoryTheory.equivToOverUnit

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      CategoryTheory.Over (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ≌ C

The slice category over the terminal unit object is equivalent to the original category.

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.Over

Cited by

6 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory