QH002 — quadratic trace height — irrationality research

Exact named statement

forall ab ac bb bc cb cc db dc ub uc vb vc wb wc xb xc L H N rp rn sp sn. IQuadCanonicalTrace(ab,ac,bb,bc,cb,cc,db,dc,ub,uc,vb,vc,wb,wc,xb,xc,L) ->
  IQuadFactorHeightBound(ab,ac,bb,bc,cb,cc,db,dc,L,H) ->
  Pow(H,L,N) ->
  IQuadAt(ub,uc,vb,vc,wb,wc,xb,xc,L,rp,rn,sp,sn) ->
  IQuadHeightBound(rp,rn,sp,sn,N)

ND0390 — IQuadAt · ND0397 — IQuadCanonicalTrace · PD0020 — Pow · ND0398 — IQuadHeightBound · ND0399 — IQuadFactorHeightBound

Fully expanded target AST

Complete certificate and independent checks

41 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: e68c7893269115ba0b6b6505c3974c336b5fb98db8d47c2d3ef227003f8a388c
Bundle SHA-256: 080feebc1b7dcc21e09c4d259e5922341b0f4267f9df0e6b52fa2135c7f70ea2

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.

QH001

Scope

canonical integer quadratic finite height not real IR046

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