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theory Defs imports Complex_Main begin no_notation less_eq ("(_/ \<le> _)" [51, 51] 50) type_synonym vname = string datatype aexp = N int | R rat | V vname | Plus aexp aexp datatype Num = S | I | F | R end
theory Submission imports Defs begin definition less_num :: "Num \<Rightarrow> Num \<Rightarrow> bool" ("(_/ \<le> _)" [51, 51] 50) where "x \<le> y = undefined" definition sup_num :: "Num \<Rightarrow> Num \<Rightarrow> Num" ("(_/ \<squnion> _)" [51, 51] 50) where "x \<squnion> y = undefined" fun plus' :: "Num \<Rightarrow> Num \<Rightarrow> Num" where "plus' _ _ = undefined" fun mul' :: "Num \<Rightarrow> Num \<Rightarrow> Num" where "mul' _ _ = undefined" end
theory Check imports Submission begin end