`phaseBudgetEngine_of_boundedVisibilityEngine`

definition

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module: IndisputableMonolith.NumberTheory.PhaseBudgetEngineFromRS
domain: NumberTheory
line: 34 · github
papers citing: none yet

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IndisputableMonolith.NumberTheory.PhaseBudgetEngineFromRS on GitHub at line 34.

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formal source

  31
  32/-- A recovered-ledger bounded visibility engine supplies the phase-budget
  33engine needed by the Erdős-Straus chain. -/
  34def phaseBudgetEngine_of_boundedVisibilityEngine
  35    (engine : BoundedVisibilityEngine) :
  36    PhaseBudgetEngine where
  37  bound := engine.bound
  38  supplies_hit := by
  39    intro n hntrap
  40    exact engine.visibility n (nonIdentityReciprocal_of_residualTrap hntrap)
  41
  42/-- Bounded visibility over recovered ledgers gives bounded balanced search. -/
  43def boundedBalancedSearch_of_boundedVisibilityEngine
  44    (engine : BoundedVisibilityEngine) :
  45    BoundedBalancedSearchEngine :=
  46  boundedBalancedSearch_of_phaseBudget
  47    (phaseBudgetEngine_of_boundedVisibilityEngine engine)
  48
  49end PhaseBudgetEngineFromRS
  50end NumberTheory
  51end IndisputableMonolith

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