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+
+type constr_ast =
+ Pair of constr_ast * constr_ast
+| Prod of binder list * constr_ast
+| Lambda of binder list * constr_ast
+| Let of string * constr_ast * constr_ast
+| LetCase of binder list * constr_ast * constr_ast
+| IfCase of constr_ast * constr_ast * constr_ast
+| Eval of red_fun * constr_ast
+| Infix of string * constr_ast * constr_ast
+| Prefix of string * constr_ast
+| Postfix of string * constr_ast
+| Appl of constr_ast * constr_arg list
+| ApplExpl of string list * constr_ast list
+| Scope of string * constr_ast
+| Qualid of string list
+| Prop | Set | Type
+| Int of string
+| Hole
+| Meta of string
+| Fixp of fix_kind *
+ (string * binder list * constr_ast * string option * constr_ast) list *
+ string
+| Match of case_item list * constr_ast option *
+ (pattern list * constr_ast) list
+
+and red_fun = Simpl
+
+and binder = string * constr_ast
+
+and constr_arg = string option * constr_ast
+
+and fix_kind = Fix | CoFix
+
+and case_item = constr_ast * (string option * constr_ast option)
+
+and pattern =
+ PatAs of pattern * string
+| PatType of pattern * constr_ast
+| PatConstr of string * pattern list
+| PatVar of string
+
+let mk_cast c t =
+ if t=Hole then c else Infix(":",c,t)
+
+let mk_lambda bl t =
+ if bl=[] then t else Lambda(bl,t)