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+(* Title: focus.ML
+ Author: Makarius Wenzel, Joshua Chen
+
+A modified version of the Isar `subgoal` command
+that keeps schematic variables in the goal state.
+
+Modified from code originally written by Makarius Wenzel.
+*)
+
+local
+
+fun param_bindings ctxt (param_suffix, raw_param_specs) st =
+ let
+ val _ = if Thm.no_prems st then error "No subgoals!" else ()
+ val subgoal = #1 (Logic.dest_implies (Thm.prop_of st))
+ val subgoal_params =
+ map (apfst (Name.internal o Name.clean)) (Term.strip_all_vars subgoal)
+ |> Term.variant_frees subgoal |> map #1
+
+ val n = length subgoal_params
+ val m = length raw_param_specs
+ val _ =
+ m <= n orelse
+ error ("Excessive subgoal parameter specification" ^
+ Position.here_list (map snd (drop n raw_param_specs)))
+
+ val param_specs =
+ raw_param_specs |> map
+ (fn (NONE, _) => NONE
+ | (SOME x, pos) =>
+ let
+ val b = #1 (#1 (Proof_Context.cert_var (Binding.make (x, pos), NONE, NoSyn) ctxt))
+ val _ = Variable.check_name b
+ in SOME b end)
+ |> param_suffix ? append (replicate (n - m) NONE)
+
+ fun bindings (SOME x :: xs) (_ :: ys) = x :: bindings xs ys
+ | bindings (NONE :: xs) (y :: ys) = Binding.name y :: bindings xs ys
+ | bindings _ ys = map Binding.name ys
+ in bindings param_specs subgoal_params end
+
+fun gen_schematic_subgoal prep_atts raw_result_binding raw_prems_binding param_specs state =
+ let
+ val _ = Proof.assert_backward state
+
+ val state1 = state
+ |> Proof.map_context (Proof_Context.set_mode Proof_Context.mode_schematic)
+ |> Proof.refine_insert []
+
+ val {context = ctxt, facts = facts, goal = st} = Proof.raw_goal state1
+
+ val result_binding = apsnd (map (prep_atts ctxt)) raw_result_binding
+ val (prems_binding, do_prems) =
+ (case raw_prems_binding of
+ SOME (b, raw_atts) => ((b, map (prep_atts ctxt) raw_atts), true)
+ | NONE => (Binding.empty_atts, false))
+
+ val (subgoal_focus, _) =
+ (if do_prems then Subgoal.focus_prems else Subgoal.focus_params) ctxt
+ 1 (SOME (param_bindings ctxt param_specs st)) st
+
+ fun after_qed (ctxt'', [[result]]) =
+ Proof.end_block #> (fn state' =>
+ let
+ val ctxt' = Proof.context_of state'
+ val results' =
+ Proof_Context.export ctxt'' ctxt' (Conjunction.elim_conjunctions result)
+ in
+ state'
+ |> Proof.refine_primitive (fn _ => fn _ =>
+ Subgoal.retrofit ctxt'' ctxt' (#params subgoal_focus) (#asms subgoal_focus) 1
+ (Goal.protect 0 result) st
+ |> Seq.hd)
+ |> Proof.map_context
+ (#2 o Proof_Context.note_thmss "" [(result_binding, [(results', [])])])
+ end)
+ #> Proof.reset_facts
+ #> Proof.enter_backward
+ in
+ state1
+ |> Proof.enter_forward
+ |> Proof.using_facts []
+ |> Proof.begin_block
+ |> Proof.map_context (fn _ =>
+ #context subgoal_focus
+ |> Proof_Context.note_thmss "" [(prems_binding, [(#prems subgoal_focus, [])])] |> #2)
+ |> Proof.internal_goal (K (K ())) (Proof_Context.get_mode ctxt) true "subgoal"
+ NONE after_qed [] [] [(Binding.empty_atts, [(Thm.term_of (#concl subgoal_focus), [])])] |> #2
+ |> Proof.using_facts facts
+ |> pair subgoal_focus
+ end
+
+val opt_fact_binding =
+ Scan.optional (Parse.binding -- Parse.opt_attribs || Parse.attribs >> pair Binding.empty)
+ Binding.empty_atts
+
+val for_params =
+ Scan.optional
+ (\<^keyword>\<open>vars\<close> |--
+ Parse.!!! ((Scan.option Parse.dots >> is_some) --
+ (Scan.repeat1 (Parse.maybe_position Parse.name_position))))
+ (false, [])
+
+val schematic_subgoal_cmd = gen_schematic_subgoal Attrib.attribute_cmd
+
+val parser =
+ opt_fact_binding
+ -- (Scan.option (\<^keyword>\<open>prems\<close> |-- Parse.!!! opt_fact_binding))
+ -- for_params >> (fn ((a, b), c) =>
+ Toplevel.proofs (Seq.make_results o Seq.single o #2 o schematic_subgoal_cmd a b c))
+
+in
+
+(** Outer syntax commands **)
+
+val _ = Outer_Syntax.command \<^command_keyword>\<open>focus\<close>
+ "focus on first subgoal within backward refinement, without instantiating schematic vars"
+ parser
+
+val _ = Outer_Syntax.command \<^command_keyword>\<open>\<guillemotright>\<close> "focus bullet" parser
+val _ = Outer_Syntax.command \<^command_keyword>\<open>\<^item>\<close> "focus bullet" parser
+val _ = Outer_Syntax.command \<^command_keyword>\<open>\<^enum>\<close> "focus bullet" parser
+val _ = Outer_Syntax.command \<^command_keyword>\<open>~\<close> "focus bullet" parser
+
+end