*)
val assume : string -> Cic.term -> ProofEngineTypes.tactic
-val suppose : Cic.term -> string -> ProofEngineTypes.tactic
-val by_term_we_proved : Cic.term -> Cic.term -> string -> ProofEngineTypes.tactic
-val bydone : Cic.term -> ProofEngineTypes.tactic
-val we_need_to_prove : Cic.term -> string -> ProofEngineTypes.tactic
+
+val suppose : Cic.term -> string -> Cic.term option -> ProofEngineTypes.tactic
+
+val by_term_we_proved :
+ dbd:HSql.dbd -> universe:Universe.universe -> Cic.term option -> Cic.term ->
+ string option -> Cic.term option -> ProofEngineTypes.tactic
+
+val bydone : dbd:HSql.dbd -> universe:Universe.universe -> Cic.term option ->
+ ProofEngineTypes.tactic
+
+val we_need_to_prove :
+ Cic.term -> string option -> Cic.term option -> ProofEngineTypes.tactic
+
+val we_proceed_by_cases_on : Cic.term -> Cic.term -> ProofEngineTypes.tactic
+
+val we_proceed_by_induction_on : Cic.term -> Cic.term -> ProofEngineTypes.tactic
+
+val byinduction : Cic.term -> string -> ProofEngineTypes.tactic
+
+val thesisbecomes : Cic.term -> ProofEngineTypes.tactic
+
+val case : string -> params:(string * Cic.term) list -> ProofEngineTypes.tactic
+
+val existselim :
+ dbd:HSql.dbd -> universe:Universe.universe ->
+ Cic.term option -> string -> Cic.term -> string -> Cic.lazy_term -> ProofEngineTypes.tactic
+
+val andelim :
+ Cic.term -> string -> Cic.term -> string -> Cic.term -> ProofEngineTypes.tactic
+
+val rewritingstep :
+ dbd:HSql.dbd -> universe:Universe.universe ->
+ (string option * Cic.term) option -> Cic.term ->
+ [ `Term of Cic.term | `Auto of Auto.auto_params
+ | `Proof | `SolveWith of Cic.term] ->
+ bool (* last step *) -> ProofEngineTypes.tactic