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Tree properties were introduced by Shelah, and it is well-known that a theory has TP (the tree property) if and only if it has TP1 or TP2. In any simple theory (i.e., a theory not having TP), forking supplies a good independence notion as it satisfies symmetry, full transitivity, extension, local character, and type-amalgamation, over sets. Shelah also introduced SOPn (n-strong order property). Recently it has been proved that in any NSOP1 theory (i.e. a theory not having SOP1) havingdoi:10.4064/fm757-8-2019 fatcat:7jketz2fhbck3glc3xyxxrmiqi