Theorems · Definition · category theory

CategoryTheory.OverClass.asOverHom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      (S : C) →
        [inst_1 : CategoryTheory.OverClass X S] →
          [inst_2 : CategoryTheory.OverClass Y S] →
            (f : X ⟶ Y) →
              [CategoryTheory.HomIsOver f S] → CategoryTheory.OverClass.asOver X S ⟶ CategoryTheory.OverClass.asOver Y S

Bundle a morphism f : X ⟶ Y with HomIsOver f S into a morphism in Over S.

Defined in

Mathlib.CategoryTheory.Comma.Over.OverClass

Cited by

8 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.OverClassCategoryTheory.OverClassCategoryTheory.HomIsOver