Theorems · Theorem · logic and foundations
Cardinal.preAleph_symm_aleph
∀ (o : Ordinal.{u_1}), Cardinal.preAleph.symm (Cardinal.aleph o) = Ordinal.omega0 + o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 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 and proof · cited by 62,936
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderIsostatement · cited by 874
- OrderEmbeddingstatement · cited by 619
- OrderIso.symmstatement · cited by 475
- Ordinal.omega0statement and proof · cited by 197
- Cardinal.alephstatement · cited by 76
- RelEmbedding.toEmbeddingproof · cited by 45
- Cardinal.preAlephstatement and proof · cited by 44
- OrderIso.symm_apply_applyproof · cited by 41
- OrderEmbedding.addLeftproof · cited by 5
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