Theorems · Definition · category theory

CategoryTheory.unitCompPartialBijectiveAux

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {i : CategoryTheory.Functor D C} →
          [inst_2 : CategoryTheory.Reflective i] →
            (A : C) → (B : D) → (A ⟶ i.obj B) ≃ (i.obj ((CategoryTheory.reflector i).obj A) ⟶ i.obj B)

(Implementation) Auxiliary definition for unitCompPartialBijective.

Defined in

Mathlib.CategoryTheory.Adjunction.Reflective

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Reflective