Theorems · Definition · category theory

CategoryTheory.StructuredArrow.hom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {S : D} → {T : CategoryTheory.Functor C D} → (X : CategoryTheory.StructuredArrow S T) → S ⟶ T.obj X.right

The morphism that is part of a structured arrow.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

150 results in Mathlib

Foundations

Depth 25 from the axioms, rests on 125 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category