+ (* Tattiche Aggiunte *)
+ | Assume (_, ident , term) -> "assume" ^ ident ^ ":" ^ term_pp term
+ | Suppose (_, term, ident,term1) -> "suppose" ^ term_pp term ^ "(" ^ ident ^ ")" ^ (match term1 with None -> " " | Some term1 -> term_pp term1)
+ | Bydone (_, term) -> "by" ^ (match term with None -> "_" | Some term -> term_pp term) ^ "done"
+ | By_term_we_proved (_, term, term1, ident, term2) -> "by" ^ (match term with None -> "_" | Some term -> term_pp term) ^ "we proved" ^ term_pp term1 ^ (match ident with None -> "" | Some ident -> "(" ^ident^ ")") ^
+ (match term2 with None -> " " | Some term2 -> term_pp term2)
+ | We_need_to_prove (_, term, ident, term1) -> "we need to prove" ^ term_pp term ^ (match ident with None -> "" | Some ident -> "(" ^ ident ^ ")") ^ (match term1 with None -> " " | Some term1 -> term_pp term1)
+ | We_proceed_by_cases_on (_, term, term1) -> "we proceed by cases on" ^ term_pp term ^ "to prove" ^ term_pp term1
+ | We_proceed_by_induction_on (_, term, term1) -> "we proceed by induction on" ^ term_pp term ^ "to prove" ^ term_pp term1
+ | Byinduction (_, term, ident) -> "by induction hypothesis we know" ^ term_pp term ^ "(" ^ ident ^ ")"
+ | Thesisbecomes (_, term) -> "the thesis becomes " ^ term_pp term
+ | ExistsElim (_, term0, ident, term, ident1, term1) -> "by " ^ (match term0 with None -> "_" | Some term -> term_pp term) ^ "let " ^ ident ^ ":" ^ term_pp term ^ "such that " ^ lazy_term_pp term1 ^ "(" ^ ident1 ^ ")"
+ | AndElim (_, term, ident1, term1, ident2, term2) -> "by " ^ term_pp term ^ "we have " ^ term_pp term1 ^ " (" ^ ident1 ^ ") " ^ "and " ^ term_pp term2 ^ " (" ^ ident2 ^ ")"
+ | RewritingStep (_, term, term1, term2, cont) -> (match term with None -> " " | Some (None,term) -> "conclude " ^ term_pp term | Some (Some name,term) -> "obtain (" ^ name ^ ") " ^ term_pp term) ^ "=" ^ term_pp term1 ^ " by " ^ (match term2 with `Auto params -> "_" ^ String.concat " " (List.map (fun (k,v) -> if v <> "" then k ^ "=" ^ v else k) params) | `Term term2 -> term_pp term2 | `Proof -> "proof") ^ (if cont then " done" else "")
+ | Case (_, id, args) ->
+ "case" ^ id ^
+ String.concat " "
+ (List.map (function (id,term) -> "(" ^ id ^ ": " ^ term_pp term ^ ")")
+ args)