CV096 — exp sum continuity — irrationality research

Exact named statement

forall d x y g N ab ac bb bc a0 s t. ~d=0 ->
  y=x+g ->
  NatScaledExpRecurrence(d,x,ab,ac,N) ->
  NatScaledExpRecurrence(d,y,bb,bc,N) ->
  BetaAt(ab,ac,0,a0) ->
  BetaAt(bb,bc,0,a0) ->
  Le(y,2*d) ->
  Sum(ab,ac,S N,s) ->
  Sum(bb,bc,S N,t) ->
  Le(s,t) /\ Le(d*t,d*s+9*(g*a0))

PD0001 — Le · PD0013 — BetaAt · PD0015 — Sum · 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: bcfe5d4711bda1d8f1b19f812c40c8a8cb6d8c2bf10fdb247fa69a32b08715d2
Bundle SHA-256: ef000bac2887811708eb6851cb4a561d71102c44712840a7654723cc4543a689

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.

CV009 · CV094 · CV095

Scope

supplied finite exponential recurrences shared head and sums at common positive denominator obey monotonicity and nine times argument gap bound via actual tail slices and proved sum majorant not analytic limit

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