CV017 — series power euler — irrationality research

Exact named statement

forall ab ac L H K. exists db dc pb pc qb qc. NatEulerPrefix(ab,ac,db,dc,L) /\ (NatPowerTrace(ab,ac,L,H,pb,pc,qb,qc,K) /\ (forall k ub uc vb vc i p t. Lt(k,K) ->
  NatPowerRow(pb,pc,qb,qc,k,ub,uc) ->
  NatPowerRow(pb,pc,qb,qc,S k,vb,vc) ->
  Lt(i,H) ->
  BetaAt(vb,vc,i,p) ->
  NatConvolutionCoefficient(db,dc,L,ub,uc,H,i,t) ->
  i*p=(S k)*t))

PD0002 — Lt · PD0013 — BetaAt · ND0401 — NatConvolutionCoefficient · ND0405 — NatPowerRow · ND0407 — NatPowerTrace · ND0410 — NatEulerPrefix

Fully expanded target AST

Complete certificate and independent checks

193 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: e71ae746c83206309479f65ede0e10c2e11d077b3ac2123df4942475e453d1e6
Bundle SHA-256: d94cbf0c9fb9f42a645258b60f5d7ba325f8ec20a54a983922da9b13c990f208

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.

CV004 · CV008 · CV009 · CV011 · CV012

Scope

constructed all exponents natural euler power rule not composition

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