`creativity_le_selfAware`

proved

show as: view math explainer →

module: IndisputableMonolith.Foundation.VoiceForcing
domain: Foundation
line: 100 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 100.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

tierVoiceRichness IndisputableMonolith.Foundation.VoiceForcing

formal source

  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 :=
 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

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.