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Theorems · Definition · general topology

PairReduction.pairSetSeq

{T : Type u_1} → [PseudoEMetricSpace T] → [DecidableEq T] → Finset T → ENNReal → ENNReal → ℕ → Finset (T × T)

Given a log-size ball sequence (Vᵢ, tᵢ, rᵢ), we define the pair set sequence by Kᵢ = {tᵢ} × {x ∈ Vᵢ | dist(tᵢ, x) ≤ rᵢc}.

Defined in
Mathlib.Topology.EMetricSpace.PairReduction
Cited by
4 results in Mathlib
Foundations
Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpaceDecidableEq

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