Corrected quantitative current-material allocation.
theorem
AVenhance.Infra.Section4.iterate_current_material_corrected_remainder_gain
{κ D C H q L E g gLap gF : ℝ}
(hκ : 0 < κ)
(hD : 0 ≤ D)
(hC : 0 ≤ C)
(hH : 0 ≤ H)
(hq : 0 < q)
(hE : 0 ≤ E)
(hscale : D * L ^ 2 ≤ C * q)
(hprevious : κ * g ≤ E)
(hLap : κ * gLap ≤ L ^ 4 * E)
(hforcing : gF ≤ κ * H * L ^ 4 * E)
:
Allocate the current forcing with κq. The forcing and preceding-gradient contributions retain q, while transferred diffusion contributes q squared. This is scalar budget algebra; the actual forcing bound is proved separately.