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Theorems · Theorem · order theory

WellQuasiOrdered.exists_monotone_subseq

∀ {α : Type u_1} {r : α → α → Prop} [IsPreorder α r],
  WellQuasiOrdered r → ∀ (f : ℕ → α), ∃ g, ∀ (m n : ℕ), m ≤ n → r (f (g m)) (f (g n))
Defined in
Mathlib.Order.WellQuasiOrder
Cited by
4 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsPreorder

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Cited by4

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