Theorems · Theorem · category theory

CategoryTheory.Presheaf.isStrongGenerator

∀ {A : Type u'} [inst : CategoryTheory.Category.{v', u'} A] {P : CategoryTheory.ObjectProperty A},
  P.IsStrongGenerator →
    ∀ [inst_1 : CategoryTheory.Limits.HasCoproducts A] [CategoryTheory.Limits.HasPullbacks A] (C : Type w)
      [inst_3 : CategoryTheory.SmallCategory C],
      (CategoryTheory.ObjectProperty.ofObj fun T => CategoryTheory.Presheaf.freeYoneda T.1 ↑T.2).IsStrongGenerator

Defined in

Mathlib.CategoryTheory.Presentable.Presheaf

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.Limits.HasPullbacksCategoryTheory.SmallCategory