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Theorems · Theorem · logic and foundations

Ordinal.IsFundamentalSequence.monotone

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

∀ {a o : Ordinal.{u}} {f : (b : Ordinal.{u}) → b < o → Ordinal.{u}},
  a.IsFundamentalSequence o f → ∀ {i j : Ordinal.{u}} (hi : i < o) (hj : j < o), i ≤ j → f i hi ≤ f j hj
Defined in
Mathlib.SetTheory.Ordinal.FundamentalSequence
Cited by
1 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Ordinal.IsFundamentalSequence.trans · cited by 0IsFundamentalSequence.tra…LT.lt.le · cited by 2189lt.lele_refl · cited by 2061le_reflOrdinal · cited by 1688Ordinallt_or_eq_of_le · cited by 29lt_or_eq_of_leOrdinal.IsFundamentalSequence · cited by 12Ordinal.IsFundamentalSequ…IsFundamentalSequence.monotoneCITED BYCITES

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