--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/Nominal-General/nominal_thmdecls.ML Sun Apr 04 21:39:28 2010 +0200
@@ -0,0 +1,134 @@
+(* Title: nominal_thmdecls.ML
+ Author: Christian Urban
+
+ Infrastructure for the lemma collection "eqvts".
+
+ Provides the attributes [eqvt] and [eqvt_raw], and the theorem
+ lists eqvts and eqvts_raw. The first attribute will store the
+ theorem in the eqvts list and also in the eqvts_raw list. For
+ the latter the theorem is expected to be of the form
+
+ p o (c x1 x2 ...) = c (p o x1) (p o x2) ...
+
+ and it is stored in the form
+
+ p o c == c
+
+ The [eqvt_raw] attribute just adds the theorem to eqvts_raw.
+
+ TODO:
+
+ - deal with eqvt-lemmas of the form
+
+ c x1 x2 ... ==> c (p o x1) (p o x2) ..
+*)
+
+signature NOMINAL_THMDECLS =
+sig
+ val eqvt_add: attribute
+ val eqvt_del: attribute
+ val eqvt_raw_add: attribute
+ val eqvt_raw_del: attribute
+ val setup: theory -> theory
+ val get_eqvts_thms: Proof.context -> thm list
+ val get_eqvts_raw_thms: Proof.context -> thm list
+
+end;
+
+structure Nominal_ThmDecls: NOMINAL_THMDECLS =
+struct
+
+
+structure EqvtData = Generic_Data
+( type T = thm Item_Net.T;
+ val empty = Thm.full_rules;
+ val extend = I;
+ val merge = Item_Net.merge );
+
+structure EqvtRawData = Generic_Data
+( type T = thm Item_Net.T;
+ val empty = Thm.full_rules;
+ val extend = I;
+ val merge = Item_Net.merge );
+
+val eqvts = Item_Net.content o EqvtData.get;
+val eqvts_raw = Item_Net.content o EqvtRawData.get;
+
+val get_eqvts_thms = eqvts o Context.Proof;
+val get_eqvts_raw_thms = eqvts_raw o Context.Proof;
+
+val add_thm = EqvtData.map o Item_Net.update;
+val del_thm = EqvtData.map o Item_Net.remove;
+
+val add_raw_thm = EqvtRawData.map o Item_Net.update;
+val del_raw_thm = EqvtRawData.map o Item_Net.remove;
+
+fun dest_perm (Const (@{const_name "permute"}, _) $ p $ t) = (p, t)
+ | dest_perm t = raise TERM("dest_perm", [t])
+
+fun mk_perm p trm =
+let
+ val ty = fastype_of trm
+in
+ Const (@{const_name "permute"}, @{typ "perm"} --> ty --> ty) $ p $ trm
+end
+
+fun eqvt_transform_tac thm = REPEAT o FIRST'
+ [CHANGED o simp_tac (HOL_basic_ss addsimps @{thms permute_minus_cancel}),
+ rtac (thm RS @{thm trans}),
+ rtac @{thm trans[OF permute_fun_def]} THEN' rtac @{thm ext}]
+
+(* transform equations into the required form *)
+fun transform_eq ctxt thm lhs rhs =
+let
+ val (p, t) = dest_perm lhs
+ val (c, args) = strip_comb t
+ val (c', args') = strip_comb rhs
+ val eargs = map Envir.eta_contract args
+ val eargs' = map Envir.eta_contract args'
+ val p_str = fst (fst (dest_Var p))
+ val goal = HOLogic.mk_Trueprop (HOLogic.mk_eq (mk_perm p c, c))
+in
+ if c <> c'
+ then error "eqvt lemma is not of the right form (constants do not agree)"
+ else if eargs' <> map (mk_perm p) eargs
+ then error "eqvt lemma is not of the right form (arguments do not agree)"
+ else if args = []
+ then thm
+ else Goal.prove ctxt [p_str] [] goal
+ (fn _ => eqvt_transform_tac thm 1)
+end
+
+fun transform addel_fun thm context =
+let
+ val ctxt = Context.proof_of context
+ val trm = HOLogic.dest_Trueprop (prop_of thm)
+in
+ case trm of
+ Const (@{const_name "op ="}, _) $ lhs $ rhs =>
+ let
+ val thm' = transform_eq ctxt thm lhs rhs RS @{thm eq_reflection}
+ in
+ addel_fun thm' context
+ end
+ | _ => raise (error "only (op=) case implemented yet")
+end
+
+val eqvt_add = Thm.declaration_attribute (fn thm => (add_thm thm) o (transform add_raw_thm thm));
+val eqvt_del = Thm.declaration_attribute (fn thm => (del_thm thm) o (transform del_raw_thm thm));
+
+val eqvt_raw_add = Thm.declaration_attribute add_raw_thm;
+val eqvt_raw_del = Thm.declaration_attribute del_raw_thm;
+
+val setup =
+ Attrib.setup @{binding "eqvt"} (Attrib.add_del eqvt_add eqvt_del)
+ (cat_lines ["declaration of equivariance lemmas - they will automtically be",
+ "brought into the form p o c = c"]) #>
+ Attrib.setup @{binding "eqvt_raw"} (Attrib.add_del eqvt_raw_add eqvt_raw_del)
+ (cat_lines ["declaration of equivariance lemmas - no",
+ "transformation is performed"]) #>
+ PureThy.add_thms_dynamic (@{binding "eqvts"}, eqvts) #>
+ PureThy.add_thms_dynamic (@{binding "eqvts_raw"}, eqvts_raw);
+
+
+end;