Theorems · Theorem · logic and foundations
Cardinal.isRegular_aleph_succ
Deprecated since 2026-03-23Use Cardinal.isRegular_aleph_add_one instead.
∀ (o : Ordinal.{u_1}), (Cardinal.aleph (Order.succ o)).IsRegular- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Order.succstatement · cited by 633
- OrderEmbeddingstatement · cited by 619
- Cardinal.IsRegularstatement · cited by 282
- Cardinal.alephstatement · cited by 76
- Cardinal.isRegular_aleph_add_oneproof · cited by 2
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