Theorems · Theorem · logic and foundations
Ordinal.preOmega_zero
Ordinal.preOmega 0 = 0
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Ordinalstatement and proof · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- Ordinal.preOmegastatement · cited by 31
- csInf_eq_bot_of_bot_memproof · cited by 4
- Ordinal.coe_preOmegaproof · cited by 1
- Ordinal.enumOrd_zeroproof · cited by 1
- Ordinal.isInitial_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.preOmega_natCastproof · cited by 3
- Ordinal.cof_preOmegaproof · cited by 0