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formal statement (Lean)
57structure SharedCircleFamilyPair where
58 sensor : DefectSensor
59 carrierPhaseFamily : DefectPhaseFamily
60 defectPhaseFamily : DefectPhaseFamily
61 carrier_sensor_charge_zero : carrierPhaseFamily.sensor.charge = 0
62 defect_sensor_eq : defectPhaseFamily.sensor = sensor
63 shared_radius : carrierPhaseFamily.witnessRadius = defectPhaseFamily.witnessRadius
64
65/-- The carrier family in a shared-circle pair has bounded annular cost
66because its charge is 0 (topological floor vanishes). -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (12)
Lean names referenced from this declaration's body.
-
has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
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carrier
in IndisputableMonolith.Engineering.CorticalNeuromodulationDevice
decl_use
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carrier
in IndisputableMonolith.Engineering.PhantomCoupledGWAntennaSensitivity
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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DefectSensor
in IndisputableMonolith.NumberTheory.CostCoveringBridge
decl_use
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DefectPhaseFamily
in IndisputableMonolith.NumberTheory.DefectSampledTrace
decl_use
-
DefectPhaseFamily
in IndisputableMonolith.NumberTheory.MeromorphicCircleOrder
decl_use