theorem proved term proof

`charge_zero_of_honestPhaseAdmissible`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  23theorem charge_zero_of_honestPhaseAdmissible
  24    (zfd : ZetaPhaseFamilyData) (hadm : HonestPhaseAdmissible zfd) :
  25    zfd.sensor.charge = 0 :=

proof body

Term-mode proof.

  26  honestPhaseFamily_charge_zero_of_costBounded zfd hadm.finiteRecognitionBudget
  27
  28/-- Honest phase admissibility is equivalent to zero charge.  The reverse
  29direction uses the already-proved bounded-excess theorem for honest phase data. -/

used by (3)

From the project-wide theorem graph. These declarations reference this one in their body.

chargeZeroBridge_of_admissibilityBridge in IndisputableMonolith.NumberTheory.HonestPhaseAdmissibility decl_use
honestPhaseAdmissible_iff_charge_zero in IndisputableMonolith.NumberTheory.HonestPhaseAdmissibility decl_use
witnessed_rh_from_honestPhaseAdmissibility in IndisputableMonolith.NumberTheory.HonestPhaseAdmissibility decl_use

depends on (11)

Lean names referenced from this declaration's body.

reverse in IndisputableMonolith.CrossDomain.DevelopmentReversal decl_use
phase in IndisputableMonolith.Foundation.EightTick decl_use
is in IndisputableMonolith.Foundation.OptionAEmpiricalProgram decl_use
is in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi decl_use
for in IndisputableMonolith.Foundation.UniversalForcingSelfReference decl_use
is in IndisputableMonolith.GameTheory.MechanismDesignFromSigma decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use
HonestPhaseAdmissible in IndisputableMonolith.NumberTheory.HonestPhaseAdmissibility decl_use
honestPhaseFamily_charge_zero_of_costBounded in IndisputableMonolith.NumberTheory.HonestPhaseBudgetBridge decl_use
ZetaPhaseFamilyData in IndisputableMonolith.NumberTheory.MeromorphicCircleOrder decl_use
phase in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge decl_use