--- a/Quot/Nominal/nominal_thmdecls.ML Wed Feb 24 17:32:43 2010 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,134 +0,0 @@
-(* 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;