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def definition def or abbrev

boundedBalancedSearch_of_primePhaseBoxDistribution

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formal statement (Lean)

  35def boundedBalancedSearch_of_primePhaseBoxDistribution
  36    (dist : PrimePhaseBoxDistribution) :
  37    BoundedBalancedSearchEngine where
  38  bound := dist.bound

proof body

Definition body.

  39  bound_ok := by
  40    intro n hn
  41    rcases dist.hits n hn with ⟨c, hcbound, hc, hhit⟩
  42    exact ⟨c, hcbound, hc, box_phase_hit_gives_balanced_pair hhit⟩
  43
  44/-- If the prime phase box distribution theorem is supplied, the residual
  45Erdős-Straus class follows. -/

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