Theorems · Definition · logic and foundations
Ordinal.IsFundamentalSequence
Deprecated since 2026-03-23Use Ordinal.IsFundamentalSeq instead.
Ordinal.{u} → (o : Ordinal.{u}) → ((b : Ordinal.{u}) → b < o → Ordinal.{u}) → PropA fundamental sequence for a is an increasing sequence of length o = cof a that converges at
a. We provide o explicitly in order to avoid type rewrites.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Cardinal.ordproof · cited by 266
- Ordinal.cofproof · cited by 125
- Ordinal.blsubproof · cited by 44
Cited by12
Results whose statement or proof uses this declaration.
- Ordinal.IsFundamentalSequence.cof_eqstatement and proof · cited by 2
- Ordinal.IsFundamentalSequence.blsub_eqstatement and proof · cited by 1
- Ordinal.IsFundamentalSequence.monotonestatement and proof · cited by 1
- Ordinal.IsFundamentalSequence.ord_cofstatement and proof · cited by 1
- Ordinal.IsFundamentalSequence.id_of_le_cofstatement · cited by 0
- Ordinal.IsFundamentalSequence.ltstatement and proof · cited by 0
- Ordinal.IsFundamentalSequence.of_isNormalstatement and proof · cited by 0
- Ordinal.IsFundamentalSequence.strict_monostatement and proof · cited by 0
- Ordinal.IsFundamentalSequence.succstatement · cited by 0
- Ordinal.IsFundamentalSequence.transstatement and proof · cited by 0
- Ordinal.IsFundamentalSequence.zerostatement · cited by 0
- Ordinal.exists_fundamental_sequencestatement and proof · cited by 0