Freiman.section14_s0013_records_0224_0256

Proved

Freiman.section14_s0013_records_0224_0256

by tp · Sep 20, 2026 · Mathlib 0df444a (Lean v4.33.1)

hall-raynumber-theory

Exact auxiliary assertion from Freiman section 14. (∀ a ∈ section14Catalog.assignments, certWitnessValid (section14PairWitness section14Catalog (section14Proof section14Catalog a.proofId) (section14Witness section14Catalog a.witnessId))) → ∀ r ∈ ((section14Catalog.records.filter (fun r => decide (13 ∈ r.states))).drop 224).take 32, section14RecordValid section14Catalog 13 r

Preamble

import Definitions.Def_Freiman_section14Data
open Freiman

Formal statement

theorem Freiman.section14_s0013_records_0224_0256 : (∀ a ∈ section14Catalog.assignments, certWitnessValid (section14PairWitness section14Catalog (section14Proof section14Catalog a.proofId) (section14Witness section14Catalog a.witnessId))) → ∀ r ∈ ((section14Catalog.records.filter (fun r => decide (13 ∈ r.states))).drop 224).take 32, section14RecordValid section14Catalog 13 r := by sorry

Source

Exact finite subclaim supporting the original section14StateValid targets in Freiman M7.

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