Theorems · Definition · logic and foundations
ONote.split
ONote → ONote × ℕ
Calculate division and remainder of o mod ω:
split o = (a, n) means o = a + n, where ω ∣ a.
- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ONotestatement and proof · cited by 88
- ONote.brecOnproof · cited by 12
Cited by9
Results whose statement or proof uses this declaration.
- ONote.split_eq_scale_split'statement · cited by 3
- ONote.nf_repr_splitstatement and proof · cited by 2
- ONote.split_dvdstatement and proof · cited by 2
- ONote.repr_opowproof · cited by 1
- ONote.split_add_ltstatement and proof · cited by 1
- ONote.opowAux2proof · cited by 1
- ONote.split.eq_defstatement and proof · cited by 0
- ONote.opowproof · cited by 0
- ONote.opow_defstatement · cited by 0