Theorems · Definition · category theory

CategoryTheory.Functor.DenseAt.ofIso

{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 → {Y' : D} → (Y ≅ Y') → F.DenseAt Y'

If F : C ⥤ D is dense at Y : D, then it is also at Y' if Y and Y' are isomorphic.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.DenseAt

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category