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stripHalfPlane

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formal statement (Lean)

  41def stripHalfPlane : Set ℂ := {s : ℂ | 1/2 < s.re}

proof body

Definition body.

  42
  43/-! ### §2. Complex carrier certificate -/
  44
  45/-- A certificate packaging the complex-analytic properties of the Euler carrier
  46`C(s) = det₂(I − A(s))²` on a disk inside the strip.
  47
  48The real-axis versions of convergence, nonvanishing, and log-derivative bounds
  49are already proved in `EulerInstantiation.lean`. This structure lifts them to
  50the complex setting by recording the disk center, radius, and the analytic
  51properties on that disk.
  52
  53The `differentiableOn` field is the one that requires genuine Mathlib complex
  54analysis infrastructure (locally uniform convergence of holomorphic series).
  55It is stated as a field rather than proved from scratch. -/

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