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formal statement (Lean)
119def impulse_per_octave (vei : ℝ) : ℝ :=
proof body
Definition body.
120 Cost.Jcost (veiRatio vei) * (octavePeriod : ℝ)
121
122/-- The per-octave impulse is non-negative for any positive VEI. -/
used by (10)
From the project-wide theorem graph. These declarations reference this one in their body.
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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octavePeriod
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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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
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octave
in IndisputableMonolith.Foundation.UniversalForcing.Strict.Music
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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octavePeriod
in IndisputableMonolith.Geology.VolcanicForcingAsJCostImpulse
decl_use
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veiRatio
in IndisputableMonolith.Geology.VolcanicForcingAsJCostImpulse
decl_use
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octave
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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octave
in IndisputableMonolith.MusicTheory.HarmonicModes
decl_use