Structure bossLib
signature bossLib =
sig
include Abbrev
type ssfrag = simpLib.ssfrag
type simpset = simpLib.simpset
(* Make definitions *)
(* new types *)
val Hol_datatype : hol_type quotation -> unit
val Datatype : hol_type quotation -> unit
(* new functions *)
val Define : term quotation -> thm
val zDefine : term quotation -> thm
val xDefine : string -> term quotation -> thm
val tDefine : string -> term quotation -> tactic -> thm
val WF_REL_TAC : term quotation -> tactic
val Hol_defn : string -> term quotation -> DefnBase.defn
(* new (inductive) relations *)
val Hol_reln : term quotation -> thm * thm * thm
val Hol_coreln : term quotation -> thm * thm * thm
val xHol_reln : string -> term quotation -> thm * thm * thm
val xHol_coreln : string -> term quotation -> thm * thm * thm
val export_mono : string -> unit
(* Derived rule for specifying new constants.
Should have the same effect as Theory.Definition.new_specification. *)
val new_specification : string * string list * thm -> thm
(* Case-splitting and induction operations *)
val Cases : tactic
val Cases_on : term quotation -> tactic
val tmCases_on : term -> string list -> tactic
val PairCases : tactic
val PairCases_on : term quotation -> tactic
val Induct : tactic
val Induct_on : term quotation -> tactic
val update_induction : thm -> unit
val recInduct : thm -> tactic
val namedCases : string list -> tactic
val namedCases_on : term quotation -> string list -> tactic
val measureInduct_on : term quotation -> tactic
val completeInduct_on : term quotation -> tactic
val using : tactic * thm -> tactic (* infix *)
val usingA : tactic -> thm -> tactic (* curry of above *)
val pairarg_tac : tactic
val split_pair_case_tac : tactic
val CASE_TAC : tactic
val CaseEq : string -> thm
val CaseEqs : string list -> thm
val AllCaseEqs : unit -> thm
val CasePred : string -> thm
val CasePreds : string list -> thm
val AllCasePreds : unit -> thm
(* Proof automation *)
val PROVE : thm list -> term -> thm (* First order *)
val METIS_PROVE : thm list -> term -> thm (* First order *)
val DECIDE : term -> thm (* Cooperating dec. procs *)
val PROVE_TAC : thm list -> tactic
val prove_tac : thm list -> tactic
val METIS_TAC : thm list -> tactic
val metis_tac : thm list -> tactic
val DECIDE_TAC : tactic
val decide_tac : tactic
(* Simplification *)
val ++ : simpset * ssfrag -> simpset (* infix *)
val && : simpset * thm list -> simpset (* infix *)
val -* : simpset * string list -> simpset (* infix *)
val pure_ss : simpset
val bool_ss : simpset
val std_ss : simpset (* bool + option + pair + sum *)
val arith_ss : simpset
val old_arith_ss : simpset
val list_ss : simpset
val srw_ss : unit -> simpset
val boss_ss : unit -> simpset (* srw_ss() + LET_ss + ARITH_ss *)
val ARITH_ss : ssfrag (* arithmetic d.p. + some rewrites *)
val old_ARITH_ss : ssfrag
val CONJ_ss : ssfrag
val DISJ_ss : ssfrag
val DNF_ss : ssfrag
val ETA_ss : ssfrag
val QI_ss : ssfrag
val SFY_ss : ssfrag
val SQI_ss : ssfrag
val type_rws : hol_type -> thm list
val rewrites : thm list -> ssfrag
val augment_srw_ss : ssfrag list -> unit
val diminish_srw_ss : string list -> unit
val export_rewrites : string list -> unit
val temp_delsimps : string list -> unit
val delsimps : string list -> unit
val limit : int -> simpset -> simpset
(* use these in simplifier's argument list *)
val SimpLHS : thm
val SimpRHS : thm
val SimpL : term -> thm
val SimpR : term -> thm
val Cong : thm -> thm
val AC : thm -> thm -> thm
val Excl : string -> thm
val ExclSF : string -> thm
val SF : ssfrag -> thm
val Req0 : thm -> thm
val ReqD : thm -> thm
(* useful rules to use with simplification *)
val oneline : thm -> thm
val lambdify : thm -> thm
val SIMP_CONV : simpset -> thm list -> conv
val SIMP_RULE : simpset -> thm list -> thm -> thm
val SRULE : thm list -> thm -> thm (* uses srw_ss() *)
val SCONV : thm list -> conv (* uses srw_ss() *)
val SIMP_TAC : simpset -> thm list -> tactic
val simp_tac : simpset -> thm list -> tactic
val ASM_SIMP_TAC : simpset -> thm list -> tactic
val asm_simp_tac : simpset -> thm list -> tactic
val FULL_SIMP_TAC : simpset -> thm list -> tactic
val full_simp_tac : simpset -> thm list -> tactic
val REV_FULL_SIMP_TAC : simpset -> thm list -> tactic
val rev_full_simp_tac : simpset -> thm list -> tactic
val RW_TAC : simpset -> thm list -> tactic
val rw_tac : simpset -> thm list -> tactic
val SRW_TAC : ssfrag list -> thm list -> tactic
val srw_tac : ssfrag list -> thm list -> tactic
val NO_STRIP_FULL_SIMP_TAC : simpset -> thm list -> tactic
val NO_STRIP_REV_FULL_SIMP_TAC : simpset -> thm list -> tactic
val QI_TAC : tactic
val ASM_QI_TAC : tactic
val GEN_EXISTS_TAC : string -> Parse.term Lib.frag list -> tactic
(* Call-by-value evaluation *)
val EVAL : conv
val EVAL_RULE : thm -> thm
val EVAL_TAC : tactic
(* Automate some routine set theory by reduction to FOL *)
val SET_TAC : thm list -> tactic
val ASM_SET_TAC : thm list -> tactic
val SET_RULE : term -> thm
(* Miscellaneous *)
val ZAP_TAC : simpset -> thm list -> tactic
val SPOSE_NOT_THEN : (thm -> tactic) -> tactic
val spose_not_then : (thm -> tactic) -> tactic
val by : term quotation * tactic -> tactic (* infix *)
val suffices_by : term quotation * tactic -> tactic (* infix *)
val sg : term quotation -> tactic
val subgoal : term quotation -> tactic
val >~ : ('a,'b)gentactic * term quotation list ->
('a,'b)gentactic
val >>~ : ('a,'b)gentactic * term quotation list ->
('a,'b)gentactic
val >>~- : ('a,'b)gentactic * (term quotation list * tactic) ->
('a,'b)gentactic
val cheat : tactic
val kall_tac : 'a -> tactic
(* Abbreviations (see also Q structure) *)
val Abbr : term quotation -> thm
val UNABBREV_ALL_TAC : tactic
val REABBREV_TAC : tactic
val WITHOUT_ABBREVS : tactic -> tactic
(* name cases of an induction theorem *)
val name_ind_cases : term list -> thm -> thm
(* convert aux size operators to combinators and use append rules *)
val size_comb_tac : tactic
(* more simplification variants *)
val fsrw_tac : simpLib.ssfrag list -> thm list -> tactic
val simp : thm list -> tactic
val csimp : thm list -> tactic
val dsimp : thm list -> tactic
val lrw : thm list -> tactic
val lfs : thm list -> tactic
val lrfs : thm list -> tactic
val rw : thm list -> tactic
val fs : thm list -> tactic
val rfs : thm list -> tactic
val gs : thm list -> tactic
val gvs : thm list -> tactic
val gns : thm list -> tactic
val gnvs : thm list -> tactic
val rgs : thm list -> tactic
(* without loss of generality (from wlogLib) *)
val wlog_then : term quotation ->
term quotation list -> thm_tactic -> tactic
val wlog_tac : term quotation -> term quotation list -> tactic
(* useful quotation-based tactics (from Q) *)
val qx_gen_tac : term quotation -> tactic
val qx_genl_tac : term quotation list -> tactic
val qx_choose_then : term quotation -> thm_tactic -> thm_tactic
val qx_choosel_then : term quotation list -> thm_tactic -> thm_tactic
val qexists_tac : term quotation -> tactic
val qexistsl_tac : term quotation list -> tactic
val qexists : term quotation -> tactic
val qexistsl : term quotation list -> tactic
val qrefine : term quotation -> tactic
val qrefinel : term quotation list -> tactic
val qsuff_tac : term quotation -> tactic
val qid_spec_tac : term quotation -> tactic
val qspec_tac : term quotation * term quotation -> tactic
val qspec_then : term quotation -> thm_tactic -> thm -> tactic
val qspecl_then : term quotation list -> thm_tactic -> thm -> tactic
val qhdtm_assum : term quotation -> thm_tactic -> tactic
val qhdtm_x_assum : term quotation -> thm_tactic -> tactic
val qpat_assum : term quotation -> thm_tactic -> tactic
val qpat_x_assum : term quotation -> thm_tactic -> tactic
val qpat_abbrev_tac : term quotation -> tactic
val qmatch_abbrev_tac : term quotation -> tactic
val qho_match_abbrev_tac : term quotation -> tactic
val qmatch_rename_tac : term quotation -> tactic
val qmatch_assum_abbrev_tac : term quotation -> tactic
val qmatch_assum_rename_tac : term quotation -> tactic
val qmatch_asmsub_rename_tac : term quotation -> tactic
val qmatch_goalsub_rename_tac : term quotation -> tactic
val qmatch_asmsub_abbrev_tac : term quotation -> tactic
val qmatch_goalsub_abbrev_tac : term quotation -> tactic
val rename1 : term quotation -> tactic
val rename : term quotation list -> tactic
val qabbrev_tac : term quotation -> tactic
val qunabbrev_tac : term quotation -> tactic
val qunabbrevl_tac : term quotation list -> tactic
val unabbrev_all_tac : tactic
end
HOL 4, Trindemossen-1