proposition: Corollary refine_Join_Query_In_Enumerate (ResultT : Type) : forall r_o (r_n : IndexedQueryStructure qs_schema BagIndexKeys), DelegateToBag_AbsR r_o r_n -> forall (idx idx' : Fin.t _) (resultComp : RawTuple -> RawTuple -> Comp (list ResultT)), refine (l <- CallBagEnumerate idx r_n; List_Query_In (Build_single_Tuple_list (snd l)) (fun tup => UnConstrQuery_In r_o idx' (resultComp (ilist2_hd tup)))) (l <- CallBagEnumerate idx r_n; l' <- (Join_Comp_Lists (Build_single_Tuple_list (snd l)) (fun _ => l <- (CallBagEnumerate idx' r_n); ret (snd l))); List_Query_In l' (fun tup_pair => (resultComp (ilist2_hd (ilist2_tl tup_pair)) (ilist2_hd tup_pair)))).
proof: Proof. intros. apply refine_bind; [reflexivity | simpl; intro ]. eapply refine_Join_Query_In_Enumerate' with (l := Build_single_Tuple_list (snd a)); eauto. Qed.
imports: Fiat.Common.Coq__8_4__8_5__Compat Coq.Lists.List Coq.Program.Program Fiat.QueryStructure.Specification.Representation.Tuple Fiat.QueryStructure.Specification.Representation.Heading Fiat.Common.ilist2 Fiat.Common.i2list Fiat.Common.ilist3 Fiat.Common.i3list Coq.Bool.Bool Coq.Strings.String Coq.Structures.OrderedTypeEx Coq.Arith.Arith Fiat.Common.String_as_OT Fiat.Common.Ensembles.IndexedEnsembles Fiat.Common.DecideableEnsembles Fiat.Common.List.ListFacts Fiat.QueryStructure.Specification.Operations.FlattenCompList Fiat.QueryStructure.Implementation.Operations.General.QueryRefinements Fiat.QueryStructure.Implementation.Operations.General.InsertRefinements Fiat.QueryStructure.Implementation.Operations.General.EmptyRefinements Fiat.QueryStructure.Specification.Representation.QueryStructureNotations Fiat.QueryStructure.Implementation.ListImplementation Fiat.Common.List.PermutationFacts Fiat.QueryStructure.Implementation.DataStructures.BagADT.BagADT Fiat.QueryStructure.Implementation.DataStructures.BagADT.QueryStructureImplementation Fiat.QueryStructure.Implementation.DataStructures.BagADT.IndexSearchTerms Fiat.QueryStructure.Implementation.Operations.General.DeleteRefinements