D⁺(X*u)=0 iff D⁺u + Au=0

import Definitions.Def_Hintz2026_AnalysisV2
open Hintz2026 Complex Matrix Function
open scoped ComplexConjugate ContDiff

theorem Hintz2026.Rplus_zero_iff_Dp_Xstar_zero (p : SubextremalKN) (u : (Fin 2 → ℝ) → Fin 2 → ℂ) (hu : ∀ j : Fin 2, ContDiffOn ℝ ∞ (fun x => u x j) (U p)) {x : Fin 2 → ℝ} (hx : x ∈ U p) : (fun j => Dp p (fun z => ((X p z)ᴴ *ᵥ u z) j) x) = 0 ↔ (fun i => Dp p (fun z => u z i) x) + A p x *ᵥ u x = 0 := by sorry

• Endorsed by Shuze Chen · Oct 20, 2026

  Confirmed by the moderator at approval.

• Endorsed by He Wang · Oct 20, 2026

  Confirmed by the mission captain (proposal self-audit).