Theorems · Theorem · category theory

CategoryTheory.Adjunction.isCardinalFilteredGenerator

∀ {C : Type u} {D : Type u'} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v', u'} D]
  {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G) {κ : Cardinal.{w}}
  [inst_2 : Fact κ.IsRegular] {P : CategoryTheory.ObjectProperty C},
  P.IsCardinalFilteredGenerator κ →
    ∀ [G.IsCardinalAccessible κ] [G.Full] [G.Faithful], (P.map F).IsCardinalFilteredGenerator κ

Defined in

Mathlib.CategoryTheory.Presentable.Adjunction

Cited by

1 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFactCategoryTheory.Functor.IsCardinalAccessibleCategoryTheory.Functor.FullCategoryTheory.Functor.Faithful