Theorems · Theorem · logic and foundations
Cardinal.isStrongLimit_preBeth
∀ {o : Ordinal.{u_1}}, (Cardinal.preBeth o).IsStrongLimit ↔ Order.IsSuccLimit o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 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.
- Ordinalstatement and proof · cited by 1,688
- Order.IsSuccLimitstatement and proof · cited by 255
- Order.IsSuccPrelimitproof · cited by 157
- Iff.neproof · cited by 52
- Cardinal.preBethstatement and proof · cited by 31
- Cardinal.IsStrongLimitstatement · cited by 16
- Cardinal.IsStrongPrelimitproof · cited by 11
- Ordinal.isSuccLimit_iffproof · cited by 6
- Cardinal.preBeth_eq_zeroproof · cited by 1
- Cardinal.isStrongLimit_iffproof · cited by 1
- Cardinal.isStrongPrelimit_preBethproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.isStrongLimit_bethproof · cited by 0