`chain_le_creativity`

proved

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module: IndisputableMonolith.Foundation.VoiceForcing
domain: Foundation
line: 96 · github
papers citing: none yet

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IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 96.

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depends on

tierVoiceRichness IndisputableMonolith.Foundation.VoiceForcing

formal source

  93    tierVoiceRichness .singleStep ≤ tierVoiceRichness .chainReasoning := by
  94  unfold tierVoiceRichness; norm_num
  95
  96theorem chain_le_creativity :
  97    tierVoiceRichness .chainReasoning ≤ tierVoiceRichness .creativity := by
  98  unfold tierVoiceRichness; norm_num
  99
 100theorem creativity_le_selfAware :
 101    tierVoiceRichness .creativity ≤ tierVoiceRichness .selfAware := by
 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 :=

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