Theorems · Definition · category theory

CategoryTheory.Functor.Final.lift

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

When F : C ⥤ D is final, we denote by lift F d an arbitrary choice of object in C such that there exists a morphism d ⟶ F.obj (lift F d).

Defined in

Mathlib.CategoryTheory.Limits.Final

Cited by

5 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.Final