CV078 — consumed row transport — irrationality research

Exact named statement

forall H J wb wc pb pc qb qc rb rc sb sc tb tc vb vc db dc eb ec K. Le(H,J) ->
  (forall k ub uc fb fc i a. Lt(k,K) ->
  NatPowerRow(pb,pc,qb,qc,k,ub,uc) ->
  NatPowerRow(rb,rc,sb,sc,k,fb,fc) ->
  Lt(i,H) ->
  BetaAt(ub,uc,i,a) ->
  BetaAt(fb,fc,i,a)) ->
  NatWeightedSeriesTrace(H,wb,wc,pb,pc,qb,qc,tb,tc,vb,vc,K) ->
  NatWeightedSeriesTrace(J,wb,wc,rb,rc,sb,sc,db,dc,eb,ec,K) ->
  forall k ub uc fb fc i a. Le(k,K) ->
  NatPowerRow(tb,tc,vb,vc,k,ub,uc) ->
  NatPowerRow(db,dc,eb,ec,k,fb,fc) ->
  Lt(i,H) ->
  BetaAt(ub,uc,i,a) ->
  BetaAt(fb,fc,i,a)

PD0001 — Le · PD0002 — Lt · PD0013 — BetaAt · ND0405 — NatPowerRow · ND0421 — NatWeightedSeriesTrace

Fully expanded target AST

Complete certificate and independent checks

30 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: 2f33ca6e896147c1f9c2b66a154e0be06e18e77fd718ba4123744b81650ed78d
Bundle SHA-256: 040652ba1ae46390151d5fd1023a97f06f598cf6976a6ff1faf81d528a44d7f4

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.

Scope

supplied weighted accumulation rows through K preserve low coefficients from agreement only of consumed source rows below K with same weights and ordered widths not code equality

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