recognition /
Geology /
Geology.VolcanicForcingAsJCostImpulse /
explainer
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formal statement (Lean)
136 theorem impulse_at_saturation : impulse_per_octave vei_saturation = 0 := by
proof body
Term-mode proof.
137 unfold impulse_per_octave
138 rw [veiRatio_at_saturation, Cost.Jcost_unit0]
139 ring
140
141 /-- The per-octave impulse is strictly positive for any non-saturation
142 positive VEI. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (16)
Lean names referenced from this declaration's body.
octave
in IndisputableMonolith.Aesthetics.MusicalScale
decl_use
octave
in IndisputableMonolith.Constants
decl_use
Jcost_unit0
in IndisputableMonolith.Cost
decl_use
Jcost_unit0
in IndisputableMonolith.Cost.JcostCore
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
octave
in IndisputableMonolith.Foundation.UniversalForcing.Strict.Music
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
impulse_per_octave
in IndisputableMonolith.Geology.VolcanicForcingAsJCostImpulse
decl_use
veiRatio_at_saturation
in IndisputableMonolith.Geology.VolcanicForcingAsJCostImpulse
decl_use
vei_saturation
in IndisputableMonolith.Geology.VolcanicForcingAsJCostImpulse
decl_use
octave
in IndisputableMonolith.Masses.CoherenceExponent
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
octave
in IndisputableMonolith.MusicTheory.HarmonicModes
decl_use