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structure definition def or abbrev

RecognitionChart

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formal statement (Lean)

  57structure RecognitionChart (L : LocalConfigSpace C) (r : Recognizer C E) (n : ℕ) where
  58  /-- The domain: a neighborhood in the local structure -/
  59  domain : Set C
  60  /-- The domain is a valid neighborhood of some point -/
  61  domain_is_nbhd : ∃ c, domain ∈ L.N c
  62  /-- The coordinate map -/
  63  toFun : domain → Fin n → ℝ
  64  /-- Indistinguishable configurations map to the same coordinates -/
  65  respects_indistinguishable : ∀ c₁ c₂ : domain,
  66    Indistinguishable r c₁.val c₂.val → toFun c₁ = toFun c₂
  67  /-- The map is injective on resolution classes -/
  68  injective_on_classes : ∀ c₁ c₂ : domain,
  69    toFun c₁ = toFun c₂ → Indistinguishable r c₁.val c₂.val
  70
  71/-! ## Chart Properties -/
  72
  73variable {n : ℕ} (L : LocalConfigSpace C) (r : Recognizer C E)
  74
  75/-- A chart maps equivalent configurations to the same coordinates -/

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