Theorems · Theorem · logic and foundations
Cardinal.succ_preAleph
∀ (o : Ordinal.{u_1}), Order.succ (Cardinal.preAleph o) = Cardinal.preAleph (o + 1)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Order.succstatement · cited by 633
- Cardinal.preAlephstatement and proof · cited by 44
- OrderIso.map_succproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.succ_alephproof · cited by 4
- Cardinal.isRegular_preAleph_add_oneproof · cited by 2