import OAI.Computability.BinPacking.Inventory.LocalCompletionCoverage namespace OAI noncomputable section namespace BinPackingGap.InventoryData def constructedLocalState (G : GraphInput) {d : ℕ} (T : CompetingTrees d) (hd : 0 < d) (R k : ℕ) (v : G.Vertex) (selected : Bool) : (ofCompetingTrees G T R k).LocalState v selected where localEquiv := LocalResourceAllocation.localEquiv G T hd R k v selected anchorEquiv := Classical.choose (LocalCompletionCoverage.exists_anchorEquiv G T hd R k v selected) completion_le_deadline := Classical.choose_spec (LocalCompletionCoverage.exists_anchorEquiv G T hd R k v selected) end BinPackingGap.InventoryData end end OAI