Theorems · Theorem · logic and foundations
ONote.nf_repr_split
∀ {o o' : ONote} {m : ℕ} [o.NF], o.split = (o', m) → o'.NF ∧ o.repr = o'.repr + ↑m- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ONote.NF
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Ordinalstatement · cited by 1,688
- Ordinal.omega0proof · cited by 197
- ONotestatement and proof · cited by 88
- ONote.reprstatement and proof · cited by 45
- ONote.NFstatement and proof · cited by 36
- Ordinal.opow_oneproof · cited by 14
- ONote.scaleproof · cited by 9
- ONote.splitstatement and proof · cited by 7
- ONote.split'proof · cited by 6
- ONote.repr_oneproof · cited by 4
- ONote.repr_scaleproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ONote.split_add_ltproof · cited by 1
- ONote.repr_opowproof · cited by 1