Theorems · Theorem · logic and foundations
Ordinal.omega_zero
Ordinal.omega 0 = Ordinal.omega0
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 3 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- add_zeroproof · cited by 2,707
- Ordinalstatement and proof · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.omegastatement · cited by 60
- Ordinal.preOmegaproof · cited by 31
- Ordinal.preOmega_omega0proof · cited by 4
- Ordinal.omega_eq_preOmegaproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.omega0_le_omegaproof · cited by 4
- Ordinal.isPrincipal_opow_omegaproof · cited by 2
- Ordinal.omega0_lt_omega_oneproof · cited by 1