Theorems · Theorem · category theory

CategoryTheory.Functor.IsDenseAt.of_final

∀ {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} {C' : Type u_1} [inst_2 : CategoryTheory.Category.{v_1, u_1} C']
  (G : CategoryTheory.Functor C' C) [(CategoryTheory.CostructuredArrow.pre G F Y).Final],
  F.isDenseAt Y → (G.comp F).isDenseAt Y

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.DenseAt

Cited by

1 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.Final