recognition /
Modal /
Modal.Actualization /
explainer
lemma
proved
term proof
path_weight_pos
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formal statement (Lean)
148 lemma path_weight_pos (path : List Config) : 0 < PathWeight path :=
proof body
Term-mode proof.
149 Real.exp_pos _
150
151 /-- **BORN RULE EMERGENCE**: The probability of a path is proportional to its weight.
152
153 P[γ] = W[γ] / Σ_γ' W[γ']
154
155 This is not postulated—it emerges from the cost structure. -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (23)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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path_weight_pos
in IndisputableMonolith.Foundation.PathIntegralDeep
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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probability
in IndisputableMonolith.Foundation.QuantumLedger
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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Config
in IndisputableMonolith.Gravity.ILG
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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W
in IndisputableMonolith.Masses.Anchor
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
PathWeight
in IndisputableMonolith.Modal.Actualization
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Config
in IndisputableMonolith.Modal.Possibility
decl_use
W
in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation
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W
in IndisputableMonolith.Physics.MassTopology
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probability
in IndisputableMonolith.QFT.SMatrixUnitarity
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emerges
in IndisputableMonolith.RecogGeom.Comparative
decl_use
probability
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use