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formal statement (Lean)
45def physicallyEquivalent (s1 s2 : LedgerState) : Prop :=
proof body
Definition body.
46 ∃ θ : ℝ, s2.entries = s1.entries.map (fun z => z * exp (I * θ))
47
48/-- **THEOREM**: Physical equivalence is an equivalence relation. -/
used by (3)
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.
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Physical
in IndisputableMonolith.Bridge.DataCore
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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LedgerState
in IndisputableMonolith.Foundation.VariationalDynamics
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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LedgerState
in IndisputableMonolith.Information.InformationIsLedger
decl_use
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LedgerState
in IndisputableMonolith.Information.Thermodynamics
decl_use
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LedgerState
in IndisputableMonolith.LedgerPostingAdjacency
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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map
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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LedgerState
in IndisputableMonolith.QFT.GaugeInvariance
decl_use