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structure definition def or abbrev

UniversalStructure

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formal statement (Lean)

  38structure UniversalStructure where
  39  /-- The state space (fixed to ℝ for simplicity). -/
  40  State : Type
  41  /-- The recognition relation. -/
  42  recognizes : State → State → Prop
  43  /-- Self-recognition exists. -/
  44  has_self_recognition : ∃ s, recognizes s s
  45  /-- The universal strain functional. -/
  46  strain : State → ℝ
  47  /-- Strain is non-negative. -/
  48  strain_nonneg : ∀ s, 0 ≤ strain s
  49
  50/-! ## Embedding Structures -/
  51
  52/-- A physics theory (simplified). -/

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