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8df23f4 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | import OAI.Computability.BinPacking.Results.AdditiveHardness
import OAI.Computability.BinPacking.Results.OptimalSearch
import OAI.Computability.BinPacking.Results.StructuralGap
namespace OAI
namespace BinPackingGap
theorem exists_absoluteAdditiveAlgorithm_iff_pEqualsNP :
(∃ c : Nat, Nonempty (AbsoluteAdditiveAlgorithm c)) ↔ PEqualsNP := by
constructor
· exact pEqualsNP_of_exists_absoluteAdditiveAlgorithm
· intro equality
exact ⟨0, ⟨absoluteAdditiveAlgorithm_of_pEqualsNP equality⟩⟩
end BinPackingGap
end OAI
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