Theorems · Theorem · logic and foundations
ONote.NF.of_dvd_omega0_opow
∀ {b : Ordinal.{0}} {e : ONote} {n : ℕ+} {a : ONote},
(e.oadd n a).NF → Ordinal.omega0 ^ b ∣ (e.oadd n a).repr → b ≤ e.repr ∧ Ordinal.omega0 ^ b ∣ a.repr- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- le_of_not_gtproof · cited by 430
- PNatstatement and proof · cited by 392
- PNat.valproof · cited by 226
- Ordinal.omega0statement and proof · cited by 197
- not_le_of_gtproof · cited by 97
- ONotestatement and proof · cited by 88
- ONote.reprstatement and proof · cited by 45
- ONote.NFstatement and proof · cited by 36
- Dvd.dvd.mul_rightproof · cited by 15
- ONote.NFBelow.repr_ltproof · cited by 7
- ONote.NF.below_of_ltproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ONote.NF.of_dvd_omega0proof · cited by 2