CV087 — scaled exp tail — irrationality research

Exact named statement

forall d x tb tc m N a. ~d=0 ->
  Le(x,d) ->
  NatScaledExpRecurrence(d,x,tb,tc,(S m)+N) ->
  BetaAt(tb,tc,S m,a) ->
  exists ub uc s. NatAffineSlice(tb,tc,S m,1,ub,uc,S N) /\ (NatRatioBoundPrefix(ub,uc,1,S N) /\ (Sum(ub,uc,S N,s) /\ Le(s,2*a)))

PD0001 — Le · PD0013 — BetaAt · PD0015 — Sum · ND0411 — NatAffineSlice · ND0441 — NatRatioBoundPrefix · ND0443 — NatScaledExpRecurrence

Fully expanded target AST

Complete certificate and independent checks

121 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: d92d8780097ceaf3810aba46e31ffe2e3c8357929685f8314972342821425d8b
Bundle SHA-256: 842b94791215ff765f03bf71b15cffbb29af38eece82ed279ea1f9636bb90d30

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.

CV068

Scope

construct actual shifted finite outer exp tail and sum with proved ratio half and sum at most twice first omitted term under nonzero denominator and argument at most one not infinite remainder

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