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Theorems · Theorem · logic and foundations

Ordinal.IsFundamentalSequence.ord_cof

Deprecated since 2026-03-23Use Ordinal.IsFundamentalSeq instead.

∀ {a o : Ordinal.{u}} {f : (b : Ordinal.{u}) → b < o → Ordinal.{u}} (hf : a.IsFundamentalSequence o f),
  a.IsFundamentalSequence a.cof.ord fun i hi => f i ⋯
Defined in
Mathlib.SetTheory.Ordinal.FundamentalSequence
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ordinal.exists_fundamental_sequence · cited by 0Ordinal.exists_fundamenta…Ordinal · cited by 1688OrdinalLT.lt.trans_le · cited by 678lt.trans_leCardinal.ord · cited by 266Cardinal.ordOrdinal.cof · cited by 125Ordinal.cofOrdinal.IsFundamentalSequence · cited by 12Ordinal.IsFundamentalSequ…Ordinal.IsFundamentalSequence.cof_eq · cited by 2IsFundamentalSequence.cof…IsFundamentalSequence.ord_cofCITED BYCITES

Cites6

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Cited by1

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