Theorems · Theorem · logic and foundations
Cardinal.isRegular_preAleph_add_one
∀ {o : Ordinal.{u_1}}, Ordinal.omega0 ≤ o → (Cardinal.preAleph (o + 1)).IsRegular- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderIsostatement · cited by 874
- Cardinal.IsRegularstatement and proof · cited by 282
- Ordinal.omega0statement and proof · cited by 197
- Cardinal.preAlephstatement · cited by 44
- Cardinal.isRegular_succproof · cited by 6
- Cardinal.aleph0_le_preAlephproof · cited by 3
- Cardinal.succ_preAlephproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.cof_preOmega_add_oneproof · cited by 0
- Cardinal.isRegular_preAleph_succproof · cited by 0