Theorems · Theorem · category theory
CategoryTheory.HasCardinalFilteredGenerator.exists_equivalence
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (κ : Cardinal.{w}) [inst_1 : Fact κ.IsRegular]
[CategoryTheory.HasCardinalFilteredGenerator C κ], ∃ J x, Nonempty (C ≌ J)- Cited by
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- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- CategoryTheory.ObjectPropertyproof · cited by 798
- CategoryTheory.Equivalencestatement · cited by 601
- Cardinal.IsRegularstatement and proof · cited by 282
- CategoryTheory.ObjectProperty.EssentiallySmallproof · cited by 26
- CategoryTheory.ObjectProperty.IsCardinalFilteredGeneratorproof · cited by 22
- CategoryTheory.HasCardinalFilteredGeneratorstatement and proof · cited by 9
- CategoryTheory.HasCardinalFilteredGenerator.exists_generatorproof · cited by 4
- CategoryTheory.exists_equivalence_iff_of_locallySmallproof · cited by 2
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