Theorems · Theorem · logic and foundations
Cardinal.isStrongLimit_beth
∀ {o : Ordinal.{u_1}}, (Cardinal.beth o).IsStrongLimit ↔ Order.IsSuccPrelimit o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalproof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Order.IsSuccPrelimitstatement and proof · cited by 157
- Cardinal.bethstatement · cited by 35
- Cardinal.IsStrongLimitstatement and proof · cited by 16
- Ordinal.isSuccLimit_omega0proof · cited by 9
- Cardinal.beth_eq_preBethproof · cited by 2
- Cardinal.isStrongLimit_preBethproof · cited by 1
- Ordinal.isSuccLimit_add_iff_of_isSuccLimitproof · cited by 1
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