Theorems · Theorem · logic and foundations
Cardinal.IsRegular.lift
∀ {κ : Cardinal.{v}}, κ.IsRegular → (Cardinal.lift.{u, v} κ).IsRegular- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Ordinalproof · cited by 1,688
- Cardinal.liftstatement and proof · cited by 583
- Cardinal.aleph0proof · cited by 521
- Cardinal.IsRegularstatement and proof · cited by 282
- Cardinal.ordproof · cited by 266
- Ordinal.cofproof · cited by 125
- Cardinal.lift_leproof · cited by 78
- Cardinal.lift_ordproof · cited by 8
- Ordinal.lift_cofproof · cited by 8
- Cardinal.IsRegular.casesOnproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.preBeth_ordproof · cited by 3
- hasCardinalLT_sigmaproof · cited by 2
- Cardinal.isRegular_lift_iffproof · cited by 0