Theorems · Theorem · logic and foundations
ONote.NF.below_of_lt
∀ {e : ONote} {n : ℕ+} {a : ONote} {b : Ordinal.{0}}, e.repr < b → (e.oadd n a).NF → (e.oadd n a).NFBelow b- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 46 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.
- Ordinalstatement and proof · cited by 1,688
- PNatstatement and proof · cited by 392
- ONotestatement and proof · cited by 88
- ONote.reprstatement and proof · cited by 45
- ONote.NFstatement and proof · cited by 36
- ONote.NFBelowstatement and proof · cited by 20
- ONote.ctorIdxproof · cited by 5
- ONote.oadd.noConfusionproof · cited by 5
- ONote.NFBelow.casesOnproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- ONote.NF.below_of_lt'proof · cited by 3
- ONote.repr_opow_aux₁proof · cited by 1
- ONote.repr_opow_aux₂proof · cited by 1
- ONote.NF.of_dvd_omega0_opowproof · cited by 1
- ONote.nfBelow_iff_topBelowproof · cited by 0
- ONote.oadd_lt_oadd_1proof · cited by 0