Theorems · Definition · category theory

CategoryTheory.Functor.DenseAt.postcompEquivalence

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          {Y : D} →
            F.DenseAt Y →
              {D' : Type u_1} →
                [inst_2 : CategoryTheory.Category.{v_1, u_1} D'] →
                  (G : CategoryTheory.Functor D D') → [G.IsEquivalence] → (F.comp G).DenseAt (G.obj Y)

If F : C ⥤ D is dense at Y : D and G : D ⥤ D' is an equivalence, then F ⋙ G is dense at G.obj Y.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.DenseAt

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsEquivalence