ND0066

HenselCorrection(d,p,q,t)

The bounded modular derivative-inverse correction digit used by the genuine constructive one-step Hensel lift.

Conservative notation; not a theorem, primitive, or axiom.

Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved. Exact original first-admission records.

Hygienic expanded first-order definition

((exists ff_lt_pth_breakthrough_bound. ff_lt_pth_breakthrough_bound + S t = p) /\ (exists hgcrt_mod_left_pth_breakthrough_annihilation hgcrt_mod_right_pth_breakthrough_annihilation. (q + d * t) + p * hgcrt_mod_left_pth_breakthrough_annihilation = 0 + p * hgcrt_mod_right_pth_breakthrough_annihilation))

The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.

Direct definition dependencies

Lt(a,b)ModEq(m,a,b)

Definitions depending on this notation

none

Checked theorems using this definition

TH0009 · hensel_correction_existsTH000A · hensel_correction_uniqueTH000B · hensel_correction_exists_uniqueTH000F · hensel_correction_implies_multipleTH0012 · beta_horner_hensel_lift_divisibilityTH0013 · beta_horner_hensel_lift_exists

Separate complete second-wave branches: Full G095 proof · Alpha v27.