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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
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