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(* Title: Pure/context_tactic.ML
Author: Makarius
Tactics with proof context / cases -- as basis for Isar proof methods.
*)
infix 1 CONTEXT_THEN_ALL_NEW;
signature BASIC_CONTEXT_TACTIC =
sig
type context_state = Proof.context * thm
type context_tactic = context_state -> context_state Seq.result Seq.seq
val TACTIC_CONTEXT: Proof.context -> thm Seq.seq -> context_state Seq.result Seq.seq
val CONTEXT_TACTIC: tactic -> context_tactic
val NO_CONTEXT_TACTIC: Proof.context -> context_tactic -> tactic
val CONTEXT_CASES: Rule_Cases.cases -> tactic -> context_tactic
val CONTEXT_SUBGOAL: (term * int -> context_tactic) -> int -> context_tactic
val CONTEXT_THEN_ALL_NEW: (int -> context_tactic) * (int -> tactic) -> int -> context_tactic
val SUBPROOFS: context_tactic -> context_tactic
end;
signature CONTEXT_TACTIC =
sig
include BASIC_CONTEXT_TACTIC
end;
structure Context_Tactic: CONTEXT_TACTIC =
struct
(* type context_tactic *)
type context_state = Proof.context * thm;
type context_tactic = context_state -> context_state Seq.result Seq.seq;
fun TACTIC_CONTEXT ctxt : thm Seq.seq -> context_state Seq.result Seq.seq =
Seq.map (Seq.Result o pair ctxt);
fun CONTEXT_TACTIC tac : context_tactic =
fn (ctxt, st) => TACTIC_CONTEXT ctxt (tac st);
fun NO_CONTEXT_TACTIC ctxt (tac: context_tactic) st =
tac (ctxt, st) |> Seq.filter_results |> Seq.map snd;
fun CONTEXT_CASES cases tac : context_tactic =
fn (ctxt, st) => TACTIC_CONTEXT (Proof_Context.update_cases cases ctxt) (tac st);
fun CONTEXT_SUBGOAL tac i : context_tactic =
fn (ctxt, st) =>
(case try Logic.nth_prem (i, Thm.prop_of st) of
SOME goal => tac (goal, i) (ctxt, st)
| NONE => Seq.empty);
fun (tac1 CONTEXT_THEN_ALL_NEW tac2) i : context_tactic =
fn (ctxt, st) =>
(ctxt, st) |> tac1 i |> Seq.maps_results (fn (ctxt', st') =>
TACTIC_CONTEXT ctxt' ((Seq.INTERVAL tac2 i (i + Thm.nprems_of st' - Thm.nprems_of st)) st'));
(* subproofs with closed derivation *)
fun SUBPROOFS tac : context_tactic =
let
fun apply (g :: gs) (SOME (Seq.Result (results, ctxt))) =
(case Seq.pull (tac (ctxt, Goal.init g)) of
SOME (Seq.Result (ctxt', st'), _) =>
apply gs (SOME (Seq.Result (st' :: results, ctxt')))
| SOME (Seq.Error msg, _) => SOME (Seq.Error msg)
| NONE => NONE)
| apply _ x = x;
in
fn (ctxt, st) =>
(case Par_Tactical.strip_goals st of
SOME goals =>
(case apply goals (SOME (Seq.Result ([], ctxt))) of
SOME (Seq.Result (results, ctxt')) =>
TACTIC_CONTEXT ctxt' (Par_Tactical.retrofit_tac {close = true} results st)
| SOME (Seq.Error msg) => Seq.single (Seq.Error msg)
| NONE => Seq.empty)
| NONE => Seq.DETERM tac (ctxt, st))
end;
end;
structure Basic_Context_Tactic: BASIC_CONTEXT_TACTIC = Context_Tactic;
open Basic_Context_Tactic;
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