Theorems · Definition · category theory

CategoryTheory.Functor.leftUnitor

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor C D) → (CategoryTheory.Functor.id C).comp F ≅ F

The left unitor, a natural isomorphism ((𝟭 _) ⋙ F) ≅ F.

Defined in

Mathlib.CategoryTheory.Functor.Category

Cited by

117 results in Mathlib

Foundations

Depth 23 from the axioms, rests on 110 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category