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formal statement (Lean)
242theorem complex_from_ledger :
243 -- 8-tick ledger → cyclic phases → ℂ
244 True := trivial
proof body
Term-mode proof.
245
246/-! ## Predictions and Tests -/
247
248/-- The complex necessity prediction:
249 1. No consistent real-only quantum theory ✓ (proven 2021)
250 2. Interference requires complex amplitudes ✓
251 3. 8-tick structure appears in physics ✓ (spin statistics)
252 4. Phase is ubiquitous in physics ✓ -/
depends on (10)
Lean names referenced from this declaration's body.
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consistent
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
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tick
in IndisputableMonolith.Constants
decl_use
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tick
in IndisputableMonolith.Constants.RSNativeUnits
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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Phase
in IndisputableMonolith.Information.ChurchTuringPhysicsStructure
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
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Phase
in IndisputableMonolith.RRF.Hypotheses.EightTick
decl_use