Freiman.section14_s0013_coverage0005_parents_0170_0171
ProvedFreiman.section14_s0013_coverage0005_parents_0170_0171hall-raynumber-theory
Exact auxiliary assertion from Freiman section 14. ∀ pl ∈ ((section14State section14Catalog 13).plans.drop 5).take 1, ∀ b ∈ ((section14Parents section14Catalog (section14State section14Catalog 13)).drop 170).take 1, section14Recorded section14Catalog 13 b.branch pl.excludedGoal (-1) ∨ ∀ gs ∈ pl.specs, ∀ j ∈ List.range (section14GoalBranches section14Catalog (section14Goal section14Catalog gs.1)).length, (section14Branch section14Catalog (section14Goal section14Catalog gs.1) j).2 = .automatic ∨ section14Recorded section14Catalog 13 b.branch gs.1 j
Preamble
import Definitions.Def_Freiman_section14Data open Freiman
Formal statement
theorem Freiman.section14_s0013_coverage0005_parents_0170_0171 : ∀ pl ∈ ((section14State section14Catalog 13).plans.drop 5).take 1, ∀ b ∈ ((section14Parents section14Catalog (section14State section14Catalog 13)).drop 170).take 1, section14Recorded section14Catalog 13 b.branch pl.excludedGoal (-1) ∨ ∀ gs ∈ pl.specs, ∀ j ∈ List.range (section14GoalBranches section14Catalog (section14Goal section14Catalog gs.1)).length, (section14Branch section14Catalog (section14Goal section14Catalog gs.1) j).2 = .automatic ∨ section14Recorded section14Catalog 13 b.branch gs.1 j := by sorry
Source
Exact finite subclaim supporting the original section14StateValid targets in Freiman M7.