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formal statement (Lean)
123theorem coherence_exponent_unique :
124 D = fib 4 ∧
125 octave = fib 6 ∧
126 coherence_exponent = fib 5 ∧
127 coherence_exponent = 5 := by
proof body
Term-mode proof.
128 exact ⟨D_is_fib_4, octave_is_fib_6, coherence_exponent_is_fib_5, coherence_exponent_eq_5⟩
129
130/-! ## Connection to E_coh -/
131
132/-- The coherence energy E_coh = φ^{-5} in RS-native units. -/
depends on (14)
Lean names referenced from this declaration's body.
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octave
in IndisputableMonolith.Aesthetics.MusicalScale
decl_use
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octave
in IndisputableMonolith.Constants
decl_use
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octave
in IndisputableMonolith.Foundation.UniversalForcing.Strict.Music
decl_use
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fib
in IndisputableMonolith.Gap45.Derivation
decl_use
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coherence_exponent
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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coherence_exponent_eq_5
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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coherence_exponent_is_fib_5
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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D_is_fib_4
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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octave
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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octave_is_fib_6
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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fib
in IndisputableMonolith.Mathematics.RamanujanBridge.ContinuedFractionPhi
decl_use
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fib
in IndisputableMonolith.Mathematics.RamanujanBridge.ZeckendorfJCost
decl_use
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octave
in IndisputableMonolith.MusicTheory.HarmonicModes
decl_use
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coherence_exponent
in IndisputableMonolith.Physics.ElectronMass.Defs
decl_use