structure
definition
def or abbrev
DefectPhaseFamily
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formal statement (Lean)
118structure DefectPhaseFamily where
119 sensor : DefectSensor
120 witnessRadius : ℝ
121 witnessRadius_pos : 0 < witnessRadius
122 phaseAtLevel : (n : ℕ) → 0 < n → ContinuousPhaseData
123 charge_uniform : ∀ n hn, (phaseAtLevel n hn).charge = sensor.charge
124
125/-- A constant-radius phase package carrying the prescribed defect charge. -/
used by (26)
-
HonestPhaseCostBridge_of_rh -
rh_from_single_axiom -
defect_cost_unbounded_of_shared_pair -
SharedCircleFamilyPair -
chosenDefectPhaseFamily -
defectAnnularMesh -
defectAnnularMesh_charge -
DefectPhaseFamily -
DefectSampledFamily -
honestPhaseFamily_charge_zero_of_costBounded -
honestPhaseFamily_cost_bounded_iff_charge_zero -
phaseFamily_excess_bounded_of_perturbationWitness -
phaseFamily_ringPerturbationControl -
zetaDerivedPhaseFamily_excess_zero -
defect_phase_family_exists -
defect_phase_family_with_perturbation_exists -
DefectPhasePerturbationWitness -
defectPhasePureIncrement -
genuineZetaDerivedPhaseFamily -
regular_factor_increment_decomposition -
regular_perturbation_linear_term_bounded -
regular_perturbation_quadratic_term_bounded -
regular_perturbation_small -
trivialDefectPhaseFamily -
zetaDerivedPhaseFamily -
ZetaPhaseFamilyData