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formal statement (Lean)
204theorem eight_tick_interference :
205 (∑ k : Fin 8, EightTick.phaseExp k) = 0 :=
proof body
Term-mode proof.
206 EightTick.sum_8_phases_eq_zero
207
208/-! ## Summary Theorem -/
209
210/-- **QUANTUM LEDGER FUNDAMENTALS**
211
212 The quantum ledger formalization establishes:
213 1. Ledger entries have well-defined J-cost
214 2. Ledger balance is conserved under updates
215 3. Quantum states are superpositions over ledgers
216 4. Born rule connects to J-cost minimization
217 5. 8-tick phases enable interference -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (10)
Lean names referenced from this declaration's body.
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tick
in IndisputableMonolith.Constants
decl_use
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tick
in IndisputableMonolith.Constants.RSNativeUnits
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phaseExp
in IndisputableMonolith.Foundation.EightTick
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sum_8_phases_eq_zero
in IndisputableMonolith.Foundation.EightTick
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use