Theorems · Theorem · category theory
CategoryTheory.isCardinalFilteredGenerator_isCardinalPresentable
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (κ : Cardinal.{w}) [inst_1 : Fact κ.IsRegular]
[CategoryTheory.IsCardinalAccessibleCategory C κ],
(CategoryTheory.isCardinalPresentable C κ).IsCardinalFilteredGenerator κ- Defined in
- Mathlib.CategoryTheory.Presentable.Dense
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Factstatement and proof · cited by 2,726
- Cardinalstatement and proof · cited by 2,598
- le_rflproof · cited by 1,558
- CategoryTheory.ObjectPropertyproof · cited by 798
- Cardinal.IsRegularstatement and proof · cited by 282
- CategoryTheory.ObjectProperty.EssentiallySmallproof · cited by 26
- CategoryTheory.ObjectProperty.IsCardinalFilteredGeneratorstatement and proof · cited by 22
- CategoryTheory.isCardinalPresentablestatement and proof · cited by 20
- CategoryTheory.ObjectProperty.isoClosure_eq_selfproof · cited by 12
- CategoryTheory.IsCardinalAccessibleCategorystatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.