fact: Definition RangeTreeBag_ValidUpdate (update_term : UpdateTermType) := ValidUpdate update_term /\ forall (key : TKey) (item : TItem), X.eq (projection item) key -> X.eq (projection (bupdate_transform update_term item)) key.
imports: Fiat.QueryStructure.Implementation.DataStructures.Bags.BagsInterface Fiat.QueryStructure.Implementation.DataStructures.Bags.BagsProperties Coq.Arith.PeanoNat Coq.FSets.FMapInterface Coq.FSets.FMapFacts Coq.FSets.FMapAVL Fiat.Common Fiat.Common.List.ListFacts Fiat.Common.List.FlattenList Fiat.Common.SetEqProperties Fiat.Common.FMapExtensions Fiat.Common.List.PermutationFacts