Theorems · Theorem · logic and foundations
Cardinal.ord_aleph0
Cardinal.aleph0.ord = Ordinal.omega0
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Cardinalproof · cited by 2,598
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- le_rflproof · cited by 1,558
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.ordstatement · cited by 266
- Ordinal.typeproof · cited by 207
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.cardproof · cited by 122
- Ordinal.liftproof · cited by 86
- Ordinal.enumproof · cited by 39
Cited by9
Results whose statement or proof uses this declaration.
- Cardinal.isSuccLimit_ordproof · cited by 11
- Ordinal.aleph0_le_cardproof · cited by 5
- Cardinal.isRegular_aleph0proof · cited by 5
- Cardinal.add_one_of_aleph0_leproof · cited by 3
- Cardinal.omega0_le_ordproof · cited by 2
- Cardinal.ord_le_omega0proof · cited by 1
- Cardinal.ord_eq_omega0proof · cited by 0
- Ordinal.isInitial_omega0proof · cited by 0