Theorems · Theorem · logic and foundations
Ordinal.preOmega_omega0
Ordinal.preOmega Ordinal.omega0 = Ordinal.omega0
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 96 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
- iSupproof · cited by 2,415
- Ordinalstatement · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.preOmegastatement · cited by 31
- Ordinal.iSup_natCastproof · cited by 4
- Ordinal.preOmega_natCastproof · cited by 3
- Ordinal.isNormal_preOmegaproof · cited by 3
- Ordinal.apply_omega0_of_isNormalproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.preAleph_omega0proof · cited by 4
- Ordinal.omega_zeroproof · cited by 3
- Ordinal.omega0_le_preOmega_iffproof · cited by 1
- Ordinal.omega0_lt_preOmega_iffproof · cited by 0