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theorem proved term proof

local_section_eq_global

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formal statement (Lean)

  66theorem local_section_eq_global {M : Type} [TopologicalSpace M]
  67    (S : RecognitionSheaf M) (U : Set M) (f : LocalSection S U) (x : U) :
  68    f.val x = S.potential x := f.property x

proof body

Term-mode proof.

  69
  70/-- **THEOREM: Recognition Ratio Unity**
  71    The recognition ratio for any local section is identically 1. -/

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