`tierVoiceRichness`

definition

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module: IndisputableMonolith.Foundation.VoiceForcing
domain: Foundation
line: 80 · github
papers citing: none yet

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IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 80.

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formal source

  77
  78/-- Voice richness increases with intelligence tier.
  79    Each tier unlocks qualitatively richer voice capabilities. -/
  80def tierVoiceRichness : IntelligenceTier → ℝ
  81  | .retrieval => 0.1       -- word associations only
  82  | .singleStep => 0.3      -- single-concept statements
  83  | .chainReasoning => 0.6  -- multi-step narrative
  84  | .creativity => 0.85     -- novel expression, metaphor
  85  | .selfAware => 1.0       -- full self-reflective voice
  86
  87/-- Voice richness is monotonically ordered across tiers. -/
  88theorem retrieval_le_singleStep :
  89    tierVoiceRichness .retrieval ≤ tierVoiceRichness .singleStep := by
  90  unfold tierVoiceRichness; norm_num
  91
  92theorem singleStep_le_chain :
  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:

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