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PreNeed6 from PreU6 for every plan

Proved
J6Seg.PJ.preNeed6_holds

by Ethan Cheung Wang · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

complexity-theoryinteger-multiplication

For every admissible round-six parameter record PPP and every B5 plan pl, the interface PreNeed6 P pl holds.

By definition this asks for PreU6 under the table hypotheses of LineNeed6; those hypotheses are unused because PreU6 is already available for every table via J6Seg.PJ.preU6_holds.

Preamble
import Definitions.Def_IntMul_Kappa_R6_Defs66

set_option autoImplicit false
set_option relaxedAutoImplicit false

open J6Seg J6Seg.PJ
open IntMul.Kappa.R6
Formal statement
namespace J6Seg.PJ

theorem preNeed6_holds (P : IntMul.Kappa.R6.Prm) (hP : P.Ok) (pl : Plan6) :
    PreNeed6 P pl := by
  sorry

end J6Seg.PJ
Source
xuanji round-six κ; Solutions.J6SegILPreJK34

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