Theorems · Theorem · logic and foundations
Cardinal.isRegular_aleph_one
(Cardinal.aleph 1).IsRegular
- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 3 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.
Cites9
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 · cited by 1,688
- le_rflproof · cited by 1,558
- OrderEmbeddingstatement · cited by 619
- Cardinal.IsRegularstatement and proof · cited by 282
- Cardinal.alephstatement · cited by 76
- Cardinal.succ_aleph0proof · cited by 6
- Cardinal.isRegular_succproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.cof_omega_oneproof · cited by 2
- Filter.cocountableproof · cited by 1
- Cardinal.exists_uncountable_fiberproof · cited by 0
- Cardinal.not_isSingular_aleph_oneproof · cited by 0