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formal statement (Lean)
108theorem phi_coupling_stiffness (δ : ℝ) :
109 (Real.log Constants.phi * distZ δ) ^ 2 / 2 ≤
110 Jtilde (Real.log Constants.phi) δ :=
proof body
Term-mode proof.
111 Jtilde_stiffness_lb _ δ
112
113/-! ## Part 3: Collective Cost Subadditivity from J-Cost -/
114
115/-- At alignment (ratio = 1), J-cost is zero. -/
depends on (12)
Lean names referenced from this declaration's body.
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Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
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cost
in IndisputableMonolith.Foundation.ObserverForcing
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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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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Cost
in IndisputableMonolith.Measurement.RSNative.Core
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distZ
in IndisputableMonolith.Papers.GCIC.ReducedPhasePotential
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Jtilde
in IndisputableMonolith.Papers.GCIC.ReducedPhasePotential
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Jtilde_stiffness_lb
in IndisputableMonolith.Papers.GCIC.ReducedPhasePotential
decl_use