Theorems · Theorem · logic and foundations
Cardinal.aleph_limit
∀ {o : Ordinal.{u_1}}, Order.IsSuccLimit o → Cardinal.aleph o = ⨆ a, Cardinal.aleph ↑a- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Cardinalstatement · cited by 2,598
- iSupstatement · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement · cited by 1,166
- OrderEmbeddingstatement · cited by 619
- Order.IsSuccLimitstatement and proof · cited by 255
- Cardinal.alephstatement · cited by 76
- Order.IsNormal.apply_of_isSuccLimitproof · cited by 7
- Cardinal.isNormal_alephproof · cited by 1
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