AP038 — exp convolution recurrence — irrationality research

Exact named statement

forall d x y ab ac bb bc N i u v. NatScaledExpRecurrence(d,x,ab,ac,N) ->
  NatScaledExpRecurrence(d,y,bb,bc,N) ->
  Lt(i,N) ->
  NatConvolutionCoefficient(ab,ac,S N,bb,bc,S N,i,u) ->
  NatConvolutionCoefficient(ab,ac,S N,bb,bc,S N,S i,v) ->
  ((S i)*d)*v=(x+y)*u

PD0002 — Lt · ND0401 — NatConvolutionCoefficient · ND0443 — NatScaledExpRecurrence

Fully expanded target AST

Complete certificate and independent checks

147 actual local proof nodes. Each node carries its complete ordinary HA proof body.

Full canonical proof bundle · Original HA receipt · Independent Lean receipt

Target SHA-256: 1d0487d27421420580ddbc9e31618cfe3a90ef13648ea8c02a25c5be0e87f7e0
Bundle SHA-256: eb3ee35d22bb87a6c5ca3963644da32ed3fc677db0ee176185b032bb6c3910e2

Checked statement containment

These exact targets occur inside this certificate. These links summarize containment, not direct dependency arrows; the downloadable bundle records every private lemma and ordered edge.

AP037

Scope

derive the added argument exponential convolution recurrence below the shared finite cutoff using actual euler tables product rule and local denominator cleared shift without cancellation or an infinite identity

None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.