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formal statement (Lean)
40noncomputable def alpha_inv_phys (Q : ℝ) : ℝ :=
proof body
Definition body.
41 if Q ≥ Q_lock then
42 alpha_inv_running Q Q_lock (1 / alpha_locked)
43 else
44 1 / alpha_locked
45
46/-- **THEOREM: Physical Coupling Continuity**
47 The physical coupling is continuous at the lock-in boundary.
48 Both branches agree at Q = Q_lock (proved in `alpha_lock_at_scale`). -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
-
Physical
in IndisputableMonolith.Bridge.DataCore
decl_use
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alpha_locked
in IndisputableMonolith.Constants.ILG
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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alpha_locked
in IndisputableMonolith.Gravity.SPARCFalsifier
decl_use
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Coupling
in IndisputableMonolith.Information.FEPBridgeFromJCost
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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alpha_lock_at_scale
in IndisputableMonolith.Physics.CouplingLockIn
decl_use
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alpha_locked
in IndisputableMonolith.Physics.CouplingLockIn
decl_use
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Q_lock
in IndisputableMonolith.Physics.CouplingLockIn
decl_use