Prove2Me

Freiman lower construction: child normalize

Proved
Freiman.lower_child_normalize

by tp · Sep 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

freimanlower-construction

Normalizing the parent twice is idempotent with incoming order retained at equality; this is not an assertion that a tied cover is invariant under swapping.

Preamble
import Definitions.Def_Freiman_lowerInitialEntry
import Definitions.Def_Freiman_lowerCertificates
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Push

open Freiman
Formal statement
theorem Freiman.lower_child_normalize (p : LowerPair) (l : LowerLabel) : lowerChild (lowerNormalize p) l = lowerChild p l := by
  sorry
Source
Freiman's Hall ray: Proof report and corrected English text (8 September 2026), parts/lower_core.tex, prop:lc-H-entry; source H certificate appendix

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