cauchySeq_bdd

∀ {α : Type u} [inst : PseudoMetricSpace α] {u : ℕ → α}, CauchySeq u → ∃ R > 0, ∀ (m n : ℕ), dist (u m) (u n) < R

A Cauchy sequence on the natural numbers is bounded.

Defined in: Mathlib.Topology.MetricSpace.Cauchy
Cited by: 3 results in Mathlib
Foundations: Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace

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