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IndisputableMonolith.Mathematics.RiemannZetaFromRS

IndisputableMonolith/Mathematics/RiemannZetaFromRS.lean · 26 lines · 4 declarations

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Explainer status: pending

   1import Mathlib
   2
   3/-!
   4# Riemann Zeta Function from RS — C1 Mathematics Structural Opening
   5
   6Five canonical domains of ζ.
   7
   8Lean status: 0 sorry, 0 axiom.
   9-/
  10
  11namespace IndisputableMonolith.Mathematics.RiemannZetaFromRS
  12
  13inductive ZetaDomain where
  14  | realPartGtOne | criticalStrip | leftHalfPlane | criticalLine | trivialZeros
  15  deriving DecidableEq, Repr, BEq, Fintype
  16
  17theorem zetaDomainCount : Fintype.card ZetaDomain = 5 := by decide
  18
  19structure RiemannZetaCert where
  20  five_domains : Fintype.card ZetaDomain = 5
  21
  22def riemannZetaCert : RiemannZetaCert where
  23  five_domains := zetaDomainCount
  24
  25end IndisputableMonolith.Mathematics.RiemannZetaFromRS
  26

source mirrored from github.com/jonwashburn/shape-of-logic