OAI/Combinatorics/EditApproximation/Geometry/ChargedRandomGlobalQuery.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

The coarse seed, recursive table values, and random scalar sources are all requested through the memo program. Inactive refinement branches use the existing explicit coarse/median seed queries.

  1. theorem OAI.EditApproximation.chargedRandomGlobalQuery_value line 32

    Source documentation

    Composition with the local source-provider correctness theorem.

     theorem chargedRandomGlobalQuery_value
        (hbody : ∀ parent,
          (physicalRandomBoundedQuery source target N P F exponent H Q T S passes copies factor multiplier
            tau eta kappa delta readGroup readInteger initial parent).value
            (Sum.elim sourceAnswer (fun child => localRequestValue source target N P F exponent H Q T S copies
              factor multiplier tau eta kappa delta group integer initial child.val.val)) =
          localRequestValue source target N P F exponent H Q T S copies factor multiplier
            tau eta kappa delta group integer initial parent.val)
        (request : ChargedPhysicalRequest M J target.length passes copies T S) :
        (chargedRandomGlobalQuery source target N P F exponent H Q T S passes copies factor multiplier
          tau eta kappa delta readGroup readInteger initial request).value
          (Sum.elim sourceAnswer (fun child => chargedRequestValue source target N P F exponent H Q T S
    …

    Mentions: OAI.EditApproximation.physicalRandomBoundedQuery, OAI.EditApproximation.localRequestValue, OAI.EditApproximation.ChargedPhysicalRequest, OAI.EditApproximation.chargedRandomGlobalQuery, OAI.EditApproximation.chargedRequestValue