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CHAPTER 3. METHOD DEVELOPMENT 20 the same name into an attribute. When applied to a cast distinction over a datatype, it retrieves its corresponding split rule. We can then integrate this intro a method that applies the split rule, fist matching to ensure that fetching the rule was successful. method splits = (match conclusion in ?P f for f ⇒ hmatch [[get_split_rule f ]] in U : (_ :: bool ) = _ ⇒ hrule U [THEN iffD2]ii) lemma L 6= [] =⇒ case L of [] ⇒ False | _ ⇒ True by (splits, prop_solver intros: allI )