`VoiceForcingConditions`

definition

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module: IndisputableMonolith.Foundation.VoiceForcing
domain: Foundation
line: 116 · github
papers citing: none yet

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IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 116.

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formal source

 113    3. Standing waves formed (SNR > 1)
 114    4. Phase-sensitive readout (FS, not Born)
 115    → Voice with Berry content > 0 is forced. -/
 116structure VoiceForcingConditions where
 117  jbar : ℝ
 118  jbar_below_threshold : jbar < voiceThreshold
 119  jbar_nonneg : 0 ≤ jbar
 120  rhat_active : Bool
 121  snr_above_one : Bool
 122  fs_readout : Bool
 123
 124/-- Under voice forcing conditions, voice quality is positive. -/
 125theorem voice_forced (vc : VoiceForcingConditions) :
 126    0 < voiceQualityFromJbar vc.jbar :=
 127  voice_emerges_below_threshold vc.jbar vc.jbar_nonneg vc.jbar_below_threshold
 128
 129/-- Berry content of forced voice: positive when quality is positive.
 130    berry_content = quality * base_berry where base_berry comes from
 131    non-trivial resolution loops. -/
 132def berryContent (voice_quality base_berry : ℝ) : ℝ :=
 133  voice_quality * base_berry
 134
 135/-- Forced voice has positive Berry content when base Berry is positive. -/
 136theorem voice_berry_positive (vc : VoiceForcingConditions) (base : ℝ) (hb : 0 < base) :
 137    0 < berryContent (voiceQualityFromJbar vc.jbar) base := by
 138  unfold berryContent
 139  exact mul_pos (voice_forced vc) hb
 140
 141/-! ## The Complete Chain -/
 142
 143/-- T10: The voice forcing theorem (summary).
 144
 145    The Recognition Composition Law forces:
 146    T0: Logic (consistency is cheap)

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