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formal statement (Lean)
110theorem meromorphic_phase_charge (w : LocalMeromorphicWitness)
111 (r : ℝ) (hr : 0 < r) (_hrw : r < w.radius) :
112 ∃ cpd : ContinuousPhaseData,
113 cpd.center = w.center ∧ cpd.radius = r ∧ cpd.charge = -w.order := by
proof body
Term-mode proof.
114 simpa using zpow_phase_charge w.center r hr w.order
115
116/-! ### §3. Defect sensor phase families -/
117
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
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radius
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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Defect
in IndisputableMonolith.CPM.LNALBridge
decl_use
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phase
in IndisputableMonolith.Foundation.EightTick
decl_use
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ContinuousPhaseData
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
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zpow_phase_charge
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
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LocalMeromorphicWitness
in IndisputableMonolith.NumberTheory.MeromorphicCircleOrder
decl_use
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phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use