Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.toOver

{T : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} T] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor D T) →
          (X : T) → CategoryTheory.Functor (CategoryTheory.CostructuredArrow F X) (CategoryTheory.Over X)

Reinterpreting an F-costructured arrow F.obj d ⟶ X as an arrow over X induces a functor CostructuredArrow F X ⥤ Over X.

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

26 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category