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def hypothesis interface def or abbrev

LocalSplittingHypothesis

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formal statement (Lean)

  69def LocalSplittingHypothesis (k : ℕ) (s : ℂ) : Prop :=

proof body

Definition body.

  70  (∏' n, E1 (s / H.zeros n)) =
  71    E1 (s / H.zeros k) *
  72      ∏' n, ite (n = k) 1 (E1 (s / H.zeros n))
  73
  74/-! ## 3. Consequences -/
  75
  76/-- The Hadamard product factorization in the local-split form, given the
  77local splitting hypothesis. -/

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