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theorem proved term proof

pillar1_quotient_determines_observables

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formal statement (Lean)

  45theorem pillar1_quotient_determines_observables {C E : Type*}
  46    [ConfigSpace C] [EventSpace E] (r : Recognizer C E) :
  47    Function.Injective (quotientEventMap r) :=

proof body

Term-mode proof.

  48  quotientEventMap_injective r
  49
  50/-! ## Pillar 2: More Recognizers = Finer Resolution -/
  51
  52/-- **Pillar 2 (Information Monotonicity)**: Combining recognizers
  53    can only increase distinguishing power. -/

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