Mathlib Map

Theorems · Theorem · logic and foundations

Ordinal.IsFundamentalSequence.strict_mono

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
0 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Ordinal · cited by 1688OrdinalOrdinal.IsFundamentalSequence · cited by 12Ordinal.IsFundamentalSequ…IsFundamentalSequence.strict_…CITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.