Theorems · Theorem · logic and foundations
Cardinal.aleph_add_one
Deprecated since 2026-03-24Use Cardinal.succ_aleph instead.
∀ (o : Ordinal.{u_1}), Cardinal.aleph (o + 1) = Order.succ (Cardinal.aleph o)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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.alephstatement and proof · cited by 76
- Cardinal.succ_alephproof · cited by 4
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