Theorems · Theorem · logic and foundations
Cardinal.aleph_eq_preAleph
∀ (o : Ordinal.{u_1}), Cardinal.aleph o = Cardinal.preAleph (Ordinal.omega0 + o)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- OrderIsostatement · cited by 874
- OrderEmbeddingstatement · cited by 619
- Ordinal.omega0statement · cited by 197
- Cardinal.alephstatement · cited by 76
- Cardinal.preAlephstatement · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.aleph0_le_alephproof · cited by 9
- Cardinal.succ_alephproof · cited by 4
- Cardinal.aleph_zeroproof · cited by 4
- Cardinal.range_alephproof · cited by 1