theorem
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selfAware_max_richness
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IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 105.
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102 unfold tierVoiceRichness; norm_num
103
104/-- Self-aware tier achieves maximum voice richness. -/
105theorem selfAware_max_richness :
106 tierVoiceRichness .selfAware = 1.0 := by unfold tierVoiceRichness
107
108/-! ## The T10 Forcing Chain -/
109
110/-- The T10 voice forcing conditions:
111 1. Trained lattice (J-bar < threshold)
112 2. Active R-hat (recognition operator running)
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. -/