+ | Assume (_, ident, term) -> "assume " ^ ident ^ ":(" ^ (NotationPp.pp_term status term) ^ ")"
+ | Suppose (_,term,ident) -> "suppose (" ^ (NotationPp.pp_term status term) ^ ") (" ^ ident ^ ") "
+ | By_just_we_proved (_, just, term1, ident) -> pp_just status just ^ " we proved (" ^
+ (NotationPp.pp_term status term1) ^ ")" ^ (match ident with
+ None -> "" | Some ident -> "(" ^ident^ ")")
+ | We_need_to_prove (_,term,ident) -> "we need to prove (" ^ (NotationPp.pp_term status term) ^ ") " ^
+ (match ident with None -> "" | Some id -> "(" ^ id ^ ")")
+ | BetaRewritingStep (_,t) -> "that is equivalent to (" ^ (NotationPp.pp_term status t) ^ ")"
+ | Bydone (_, just) -> pp_just status just ^ "done"
+ | ExistsElim (_, just, ident, term, term1, ident1) -> pp_just status just ^ "let " ^ ident ^ ": ("
+ ^ (NotationPp.pp_term status term) ^ ") such that (" ^ (NotationPp.pp_term status term1) ^ ") (" ^ ident1 ^ ")"
+ | AndElim (_, just, term1, ident1, term2, ident2) -> pp_just status just ^ " we have (" ^
+ (NotationPp.pp_term status term1) ^ ") (" ^ ident1 ^ ") " ^ "and (" ^ (NotationPp.pp_term status
+ term2)
+ ^ ") (" ^ ident2 ^ ")"
+ | Thesisbecomes (_, t) -> "the thesis becomes (" ^ (NotationPp.pp_term status t) ^ ")"
+ | RewritingStep (_, rhs, just, cont) ->
+ "= (" ^
+ (NotationPp.pp_term status rhs) ^ ")" ^
+ (match just with
+ | `Auto params -> let s = pp_auto_params params status in
+ if s <> "" then " by " ^ s
+ else ""
+ | `Term t -> " exact (" ^ (NotationPp.pp_term status t) ^ ")"
+ | `Proof -> " proof"
+ | `SolveWith t -> " using (" ^ (NotationPp.pp_term status t) ^ ")"
+ )
+ ^ (if cont then " done" else "")
+ | Obtain (_,id,t1) -> "obtain (" ^ id ^ ")" ^ " (" ^ (NotationPp.pp_term status t1) ^ ")"
+ | Conclude (_,t1) -> "conclude (" ^ (NotationPp.pp_term status t1) ^ ")"
+ | We_proceed_by_cases_on (_, term, term1) -> "we proceed by cases on (" ^ NotationPp.pp_term
+ status term ^ ") to prove (" ^ NotationPp.pp_term status term1 ^ ")"
+ | We_proceed_by_induction_on (_, term, term1) -> "we proceed by induction on (" ^
+ NotationPp.pp_term status term ^ ") to prove (" ^ NotationPp.pp_term status term1 ^ ")"
+ | Byinduction (_, term, ident) -> "by induction hypothesis we know (" ^ NotationPp.pp_term status
+ term ^ ") (" ^ ident ^ ")"
+ | Case (_, id, args) ->
+ "case " ^ id ^
+ String.concat " "
+ (List.map (function (id,term) -> "(" ^ id ^ ": (" ^ NotationPp.pp_term status term ^ "))")
+ args)
+ | PrintStack _ -> "print_stack"