Theorems · Theorem · logic and foundations
Cardinal.lift_preBeth
∀ (o : Ordinal.{u_1}), Cardinal.lift.{v, u_1} (Cardinal.preBeth o) = Cardinal.preBeth (Ordinal.lift.{v, u_1} o)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Set.rangeproof · cited by 4,705
- Cardinalstatement and proof · cited by 2,598
- iSupproof · cited by 2,415
- Set.extproof · cited by 2,266
- LT.lt.leproof · cited by 2,189
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- SupSet.sSupproof · cited by 954
- Cardinal.liftstatement and proof · cited by 583
- IsMaxproof · cited by 372
- Order.IsSuccPrelimitproof · cited by 157
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.lift_bethproof · cited by 5