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Dividing the A3X numerator by the parameter preserves its certificate

Proved
CKLaneA3X.S_auNt

by marwahaha · Sep 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

a3xgeneral-courtade-kumartaylor-models

The exact original conditional source theorem: given Good F_auN D_auN, dividing that function by the positive domain parameter has the stored D_auNt certificate. The original zero-prefix, order, polynomial and remainder checks are unchanged.

Preamble
import Definitions.Def_A3X_numeric_core
import Definitions.Def_A3X_Step027_data_functions
import Definitions.Def_A3X_enclosure
import Definitions.Def_A3X_Step028_fourth_chain

set_option maxHeartbeats 0
set_option maxRecDepth 100000
open CKLaneA3X
Formal statement
theorem CKLaneA3X.S_auNt (G_auN : Good F_auN D_auN) : Good F_auNt D_auNt := by sorry
Source
https://github.com/dpwoodru/general-courtade-kumar-lean/blob/04b6fc3f75b10c3c43702a883ddf888b0608a9a0/browse/CKLaneA3X/Step028.lean#L50

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