Theorems · Definition · category theory

CategoryTheory.Subobject.arrow

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X : C} → (Y : CategoryTheory.Subobject X) → CategoryTheory.Subobject.underlying.obj Y ⟶ X

The morphism in C from the arbitrarily chosen underlying object to the ambient object.

Defined in

Mathlib.CategoryTheory.Subobject.Basic

Cited by

175 results in Mathlib

Foundations

Depth 37 from the axioms, rests on 245 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category