Theorems · Theorem · logic and foundations
Cardinal.preAleph_omega0
Cardinal.preAleph Ordinal.omega0 = Cardinal.aleph0
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.aleph0statement and proof · cited by 521
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.cardproof · cited by 122
- Cardinal.preAlephstatement · cited by 44
- Ordinal.card_omega0proof · cited by 5
- Ordinal.preOmega_omega0proof · cited by 4
- Ordinal.card_preOmegaproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.aleph_zeroproof · cited by 4
- Cardinal.aleph0_le_preAlephproof · cited by 3
- Cardinal.preBeth_omegaproof · cited by 1
- Cardinal.preAleph_symm_aleph0proof · cited by 0