Theorems · Theorem · category theory
CategoryTheory.CardinalDirectedPoset.isCardinalFilteredGenerator_hasCardinalLTWithTerminal
∀ (κ : Cardinal.{u}) [inst : Fact κ.IsRegular],
(CategoryTheory.CardinalDirectedPoset.hasCardinalLTWithTerminal κ).IsCardinalFilteredGenerator κ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Factstatement and proof · cited by 2,726
- Cardinalstatement and proof · cited by 2,598
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.Limits.Cocone.ιproof · cited by 605
- Subtype.propproof · cited by 505
- Cardinal.IsRegularstatement and proof · cited by 282
- CategoryTheory.Limits.HasTerminalproof · cited by 142
- HasCardinalLTproof · cited by 99
- CategoryTheory.ObjectProperty.homMkproof · cited by 71
- PartOrdEmbstatement · cited by 68
- PartOrdEmb.carrierproof · cited by 61
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.