Theorems · Theorem · logic and foundations
ONote.NFBelow.lt
∀ {e : ONote} {n : ℕ+} {a : ONote} {b : Ordinal.{0}}, (e.oadd n a).NFBelow b → e.repr < b- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 2 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.
Cites8
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.NFBelowstatement and proof · cited by 20
- ONote.ctorIdxproof · cited by 5
- ONote.oadd.noConfusionproof · cited by 5
- ONote.NFBelow.casesOnproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ONote.nfBelow_iff_topBelowproof · cited by 0
- ONote.NFBelow_zeroproof · cited by 0