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Theorems · Theorem · general topology

edist_le_range_sum_edist

∀ {α : Type u} [inst : PseudoEMetricSpace α] (f : ℕ → α) (n : ℕ),
  edist (f 0) (f n) ≤ ∑ i ∈ Finset.range n, edist (f i) (f (i + 1))

The triangle (polygon) inequality for sequences of points; Finset.range version.

Defined in
Mathlib.Topology.EMetricSpace.Basic
Cited by
0 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace

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