--- a/src/HOL/Library/reflection.ML Wed Jun 03 07:51:11 2009 +1000
+++ b/src/HOL/Library/reflection.ML Tue Jun 02 18:38:13 2009 +0200
@@ -29,18 +29,18 @@
(* + the a list of names of the A1 .. An, Those are fresh in the ctxt*)
-fun mk_congeq ctxt fs th =
- let
- val (f as Const(fN,fT)) = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq
+fun mk_congeq ctxt fs th =
+ let
+ val (f as Const(fN,fT)) = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq
|> fst |> strip_comb |> fst
val thy = ProofContext.theory_of ctxt
val cert = Thm.cterm_of thy
val (((_,_),[th']), ctxt') = Variable.import_thms true [th] ctxt
val (lhs, rhs) = HOLogic.dest_eq (HOLogic.dest_Trueprop (Thm.prop_of th'))
- fun add_fterms (t as t1 $ t2) =
+ fun add_fterms (t as t1 $ t2) =
if exists (fn f => Term.could_unify (t |> strip_comb |> fst, f)) fs then insert (op aconv) t
else add_fterms t1 #> add_fterms t2
- | add_fterms (t as Abs(xn,xT,t')) =
+ | add_fterms (t as Abs(xn,xT,t')) =
if exists_Const (fn (c, _) => c = fN) t then (fn _ => [t]) else (fn _ => [])
| add_fterms _ = I
val fterms = add_fterms rhs []
@@ -48,7 +48,7 @@
val tys = map fastype_of fterms
val vs = map Free (xs ~~ tys)
val env = fterms ~~ vs
- (* FIXME!!!!*)
+ (* FIXME!!!!*)
fun replace_fterms (t as t1 $ t2) =
(case AList.lookup (op aconv) env t of
SOME v => v
@@ -56,244 +56,246 @@
| replace_fterms t = (case AList.lookup (op aconv) env t of
SOME v => v
| NONE => t)
-
+
fun mk_def (Abs(x,xT,t),v) = HOLogic.mk_Trueprop ((HOLogic.all_const xT)$ Abs(x,xT,HOLogic.mk_eq(v$(Bound 0), t)))
| mk_def (t, v) = HOLogic.mk_Trueprop (HOLogic.mk_eq (v, t))
fun tryext x = (x RS ext2 handle THM _ => x)
val cong = (Goal.prove ctxt'' [] (map mk_def env)
(HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, replace_fterms rhs)))
- (fn x => LocalDefs.unfold_tac (#context x) (map tryext (#prems x))
+ (fn x => LocalDefs.unfold_tac (#context x) (map tryext (#prems x))
THEN rtac th' 1)) RS sym
-
- val (cong' :: vars') =
+
+ val (cong' :: vars') =
Variable.export ctxt'' ctxt (cong :: map (Drule.mk_term o cert) vs)
val vs' = map (fst o fst o Term.dest_Var o Thm.term_of o Drule.dest_term) vars'
-
- in (vs', cong') end;
+
+ in (vs', cong') end;
(* congs is a list of pairs (P,th) where th is a theorem for *)
(* [| f p1 = A1; ...; f pn = An|] ==> f (C p1 .. pn) = P *)
val FWD = curry (op OF);
- (* da is the decomposition for atoms, ie. it returns ([],g) where g
- returns the right instance f (AtC n) = t , where AtC is the Atoms
- constructor and n is the number of the atom corresponding to t *)
-
-(* Generic decomp for reification : matches the actual term with the
-rhs of one cong rule. The result of the matching guides the
-proof synthesis: The matches of the introduced Variables A1 .. An are
-processed recursively
- The rest is instantiated in the cong rule,i.e. no reification is needed *)
exception REIF of string;
fun dest_listT (Type ("List.list", [T])) = T;
-fun rearrange congs =
-let
- fun P (_, th) =
- let val @{term "Trueprop"}$(Const ("op =",_) $l$_) = concl_of th
- in can dest_Var l end
- val (yes,no) = List.partition P congs
- in no @ yes end
+fun rearrange congs =
+ let
+ fun P (_, th) =
+ let val @{term "Trueprop"}$(Const ("op =",_) $l$_) = concl_of th
+ in can dest_Var l end
+ val (yes,no) = List.partition P congs
+ in no @ yes end
fun genreif ctxt raw_eqs t =
- let
-val bds = ref ([]: (typ * ((term list) * (term list))) list);
+ let
+ val bds = ref ([]: (typ * ((term list) * (term list))) list);
-fun index_of t =
- let
- val tt = HOLogic.listT (fastype_of t)
- in
- (case AList.lookup Type.could_unify (!bds) tt of
- NONE => error "index_of : type not found in environements!"
- | SOME (tbs,tats) =>
- let
- val i = find_index_eq t tats
- val j = find_index_eq t tbs
- in (if j= ~1 then
- if i= ~1
- then (bds := AList.update Type.could_unify (tt,(tbs,tats@[t])) (!bds) ;
- length tbs + length tats)
- else i else j)
- end)
- end;
+ fun index_of t =
+ let
+ val tt = HOLogic.listT (fastype_of t)
+ in
+ (case AList.lookup Type.could_unify (!bds) tt of
+ NONE => error "index_of : type not found in environements!"
+ | SOME (tbs,tats) =>
+ let
+ val i = find_index_eq t tats
+ val j = find_index_eq t tbs
+ in (if j= ~1 then
+ if i= ~1
+ then (bds := AList.update Type.could_unify (tt,(tbs,tats@[t])) (!bds) ;
+ length tbs + length tats)
+ else i else j)
+ end)
+ end;
+
+ (* Generic decomp for reification : matches the actual term with the
+ rhs of one cong rule. The result of the matching guides the
+ proof synthesis: The matches of the introduced Variables A1 .. An are
+ processed recursively
+ The rest is instantiated in the cong rule,i.e. no reification is needed *)
-fun decomp_genreif da cgns (t,ctxt) =
- let
- val thy = ProofContext.theory_of ctxt
- val cert = cterm_of thy
- fun tryabsdecomp (s,ctxt) =
- (case s of
- Abs(xn,xT,ta) =>
- (let
- val ([xn],ctxt') = Variable.variant_fixes ["x"] ctxt
- val (xn,ta) = variant_abs (xn,xT,ta)
- val x = Free(xn,xT)
- val _ = (case AList.lookup Type.could_unify (!bds) (HOLogic.listT xT)
- of NONE => error "tryabsdecomp: Type not found in the Environement"
- | SOME (bsT,atsT) =>
- (bds := AList.update Type.could_unify (HOLogic.listT xT, ((x::bsT), atsT)) (!bds)))
- in ([(ta, ctxt')] ,
- fn [th] => ((let val (bsT,asT) = the(AList.lookup Type.could_unify (!bds) (HOLogic.listT xT))
- in (bds := AList.update Type.could_unify (HOLogic.listT xT,(tl bsT,asT)) (!bds))
- end) ;
- hd (Variable.export ctxt' ctxt [(forall_intr (cert x) th) COMP allI])))
- end)
- | _ => da (s,ctxt))
- in
- (case cgns of
- [] => tryabsdecomp (t,ctxt)
- | ((vns,cong)::congs) => ((let
+ (* da is the decomposition for atoms, ie. it returns ([],g) where g
+ returns the right instance f (AtC n) = t , where AtC is the Atoms
+ constructor and n is the number of the atom corresponding to t *)
+ fun decomp_genreif da cgns (t,ctxt) =
+ let
+ val thy = ProofContext.theory_of ctxt
val cert = cterm_of thy
- val certy = ctyp_of thy
- val (tyenv, tmenv) =
- Pattern.match thy
- ((fst o HOLogic.dest_eq o HOLogic.dest_Trueprop) (concl_of cong), t)
- (Envir.type_env (Envir.empty 0), Vartab.empty)
- val (fnvs,invs) = List.partition (fn ((vn,_),_) => vn mem vns) (Vartab.dest tmenv)
- val (fts,its) =
- (map (snd o snd) fnvs,
- map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t)) invs)
- val ctyenv = map (fn ((vn,vi),(s,ty)) => (certy (TVar((vn,vi),s)), certy ty)) (Vartab.dest tyenv)
- in (fts ~~ (replicate (length fts) ctxt), FWD (instantiate (ctyenv, its) cong))
- end)
- handle MATCH => decomp_genreif da congs (t,ctxt)))
- end;
+ fun tryabsdecomp (s,ctxt) =
+ (case s of
+ Abs(xn,xT,ta) => (
+ let
+ val ([xn],ctxt') = Variable.variant_fixes ["x"] ctxt
+ val (xn,ta) = variant_abs (xn,xT,ta)
+ val x = Free(xn,xT)
+ val _ = (case AList.lookup Type.could_unify (!bds) (HOLogic.listT xT)
+ of NONE => error "tryabsdecomp: Type not found in the Environement"
+ | SOME (bsT,atsT) =>
+ (bds := AList.update Type.could_unify (HOLogic.listT xT, ((x::bsT), atsT)) (!bds)))
+ in ([(ta, ctxt')] ,
+ fn [th] => ((let val (bsT,asT) = the(AList.lookup Type.could_unify (!bds) (HOLogic.listT xT))
+ in (bds := AList.update Type.could_unify (HOLogic.listT xT,(tl bsT,asT)) (!bds))
+ end) ;
+ hd (Variable.export ctxt' ctxt [(forall_intr (cert x) th) COMP allI])))
+ end)
+ | _ => da (s,ctxt))
+ in (case cgns of
+ [] => tryabsdecomp (t,ctxt)
+ | ((vns,cong)::congs) => ((let
+ val cert = cterm_of thy
+ val certy = ctyp_of thy
+ val (tyenv, tmenv) =
+ Pattern.match thy
+ ((fst o HOLogic.dest_eq o HOLogic.dest_Trueprop) (concl_of cong), t)
+ (Envir.type_env (Envir.empty 0), Vartab.empty)
+ val (fnvs,invs) = List.partition (fn ((vn,_),_) => vn mem vns) (Vartab.dest tmenv)
+ val (fts,its) =
+ (map (snd o snd) fnvs,
+ map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t)) invs)
+ val ctyenv = map (fn ((vn,vi),(s,ty)) => (certy (TVar((vn,vi),s)), certy ty)) (Vartab.dest tyenv)
+ in (fts ~~ (replicate (length fts) ctxt), FWD (instantiate (ctyenv, its) cong))
+ end)
+ handle MATCH => decomp_genreif da congs (t,ctxt)))
+ end;
(* looks for the atoms equation and instantiates it with the right number *)
-fun mk_decompatom eqs (t,ctxt) =
-let
- val tT = fastype_of t
- fun isat eq =
- let
- val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
- in exists_Const
- (fn (n,ty) => n="List.nth"
- andalso
- AList.defined Type.could_unify (!bds) (domain_type ty)) rhs
- andalso Type.could_unify (fastype_of rhs, tT)
- end
- fun get_nths t acc =
- case t of
- Const("List.nth",_)$vs$n => insert (fn ((a,_),(b,_)) => a aconv b) (t,(vs,n)) acc
- | t1$t2 => get_nths t1 (get_nths t2 acc)
- | Abs(_,_,t') => get_nths t' acc
- | _ => acc
+ fun mk_decompatom eqs (t,ctxt) =
+ let
+ val tT = fastype_of t
+ fun isat eq =
+ let
+ val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
+ in exists_Const
+ (fn (n,ty) => n="List.nth"
+ andalso
+ AList.defined Type.could_unify (!bds) (domain_type ty)) rhs
+ andalso Type.could_unify (fastype_of rhs, tT)
+ end
+
+ fun get_nths t acc =
+ case t of
+ Const("List.nth",_)$vs$n => insert (fn ((a,_),(b,_)) => a aconv b) (t,(vs,n)) acc
+ | t1$t2 => get_nths t1 (get_nths t2 acc)
+ | Abs(_,_,t') => get_nths t' acc
+ | _ => acc
- fun
- tryeqs [] = error "Can not find the atoms equation"
- | tryeqs (eq::eqs) = ((
- let
- val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
- val nths = get_nths rhs []
- val (vss,ns) = fold_rev (fn (_,(vs,n)) => fn (vss,ns) =>
- (insert (op aconv) vs vss, insert (op aconv) n ns)) nths ([],[])
- val (vsns, ctxt') = Variable.variant_fixes (replicate (length vss) "vs") ctxt
- val (xns, ctxt'') = Variable.variant_fixes (replicate (length nths) "x") ctxt'
- val thy = ProofContext.theory_of ctxt''
- val cert = cterm_of thy
- val certT = ctyp_of thy
- val vsns_map = vss ~~ vsns
- val xns_map = (fst (split_list nths)) ~~ xns
- val subst = map (fn (nt, xn) => (nt, Var ((xn,0), fastype_of nt))) xns_map
- val rhs_P = subst_free subst rhs
- val (tyenv, tmenv) = Pattern.match
- thy (rhs_P, t)
- (Envir.type_env (Envir.empty 0), Vartab.empty)
- val sbst = Envir.subst_vars (tyenv, tmenv)
- val sbsT = Envir.typ_subst_TVars tyenv
- val subst_ty = map (fn (n,(s,t)) => (certT (TVar (n, s)), certT t))
- (Vartab.dest tyenv)
- val tml = Vartab.dest tmenv
- val t's = map (fn xn => snd (valOf (AList.lookup (op =) tml (xn,0)))) xns (* FIXME : Express with sbst*)
- val subst_ns = map (fn (Const _ $ vs $ n, Var (xn0,T)) =>
- (cert n, snd (valOf (AList.lookup (op =) tml xn0))
- |> (index_of #> HOLogic.mk_nat #> cert)))
- subst
- val subst_vs =
- let
- fun ty (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) = (certT T, certT (sbsT T))
- fun h (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) =
- let
- val cns = sbst (Const("List.list.Cons", T --> lT --> lT))
- val lT' = sbsT lT
- val (bsT,asT) = the (AList.lookup Type.could_unify (!bds) lT)
- val vsn = valOf (AList.lookup (op =) vsns_map vs)
- val cvs = cert (fold_rev (fn x => fn xs => cns$x$xs) bsT (Free (vsn, lT')))
- in (cert vs, cvs) end
- in map h subst end
- val cts = map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t))
- (fold (AList.delete (fn (((a: string),_),(b,_)) => a = b))
- (map (fn n => (n,0)) xns) tml)
- val substt =
- let val ih = Drule.cterm_rule (Thm.instantiate (subst_ty,[]))
- in map (fn (v,t) => (ih v, ih t)) (subst_ns@subst_vs@cts) end
- val th = (instantiate (subst_ty, substt) eq) RS sym
- in hd (Variable.export ctxt'' ctxt [th]) end)
- handle MATCH => tryeqs eqs)
-in ([], fn _ => tryeqs (filter isat eqs))
-end;
+ fun
+ tryeqs [] = error "Can not find the atoms equation"
+ | tryeqs (eq::eqs) = ((
+ let
+ val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
+ val nths = get_nths rhs []
+ val (vss,ns) = fold_rev (fn (_,(vs,n)) => fn (vss,ns) =>
+ (insert (op aconv) vs vss, insert (op aconv) n ns)) nths ([],[])
+ val (vsns, ctxt') = Variable.variant_fixes (replicate (length vss) "vs") ctxt
+ val (xns, ctxt'') = Variable.variant_fixes (replicate (length nths) "x") ctxt'
+ val thy = ProofContext.theory_of ctxt''
+ val cert = cterm_of thy
+ val certT = ctyp_of thy
+ val vsns_map = vss ~~ vsns
+ val xns_map = (fst (split_list nths)) ~~ xns
+ val subst = map (fn (nt, xn) => (nt, Var ((xn,0), fastype_of nt))) xns_map
+ val rhs_P = subst_free subst rhs
+ val (tyenv, tmenv) = Pattern.match
+ thy (rhs_P, t)
+ (Envir.type_env (Envir.empty 0), Vartab.empty)
+ val sbst = Envir.subst_vars (tyenv, tmenv)
+ val sbsT = Envir.typ_subst_TVars tyenv
+ val subst_ty = map (fn (n,(s,t)) => (certT (TVar (n, s)), certT t))
+ (Vartab.dest tyenv)
+ val tml = Vartab.dest tmenv
+ val t's = map (fn xn => snd (valOf (AList.lookup (op =) tml (xn,0)))) xns (* FIXME : Express with sbst*)
+ val subst_ns = map (fn (Const _ $ vs $ n, Var (xn0,T)) =>
+ (cert n, snd (valOf (AList.lookup (op =) tml xn0))
+ |> (index_of #> HOLogic.mk_nat #> cert)))
+ subst
+ val subst_vs =
+ let
+ fun ty (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) = (certT T, certT (sbsT T))
+ fun h (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) =
+ let
+ val cns = sbst (Const("List.list.Cons", T --> lT --> lT))
+ val lT' = sbsT lT
+ val (bsT,asT) = the (AList.lookup Type.could_unify (!bds) lT)
+ val vsn = valOf (AList.lookup (op =) vsns_map vs)
+ val cvs = cert (fold_rev (fn x => fn xs => cns$x$xs) bsT (Free (vsn, lT')))
+ in (cert vs, cvs) end
+ in map h subst end
+ val cts = map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t))
+ (fold (AList.delete (fn (((a: string),_),(b,_)) => a = b))
+ (map (fn n => (n,0)) xns) tml)
+ val substt =
+ let val ih = Drule.cterm_rule (Thm.instantiate (subst_ty,[]))
+ in map (fn (v,t) => (ih v, ih t)) (subst_ns@subst_vs@cts) end
+ val th = (instantiate (subst_ty, substt) eq) RS sym
+ in hd (Variable.export ctxt'' ctxt [th]) end)
+ handle MATCH => tryeqs eqs)
+ in ([], fn _ => tryeqs (filter isat eqs))
+ end;
(* Generic reification procedure: *)
(* creates all needed cong rules and then just uses the theorem synthesis *)
-fun mk_congs ctxt raw_eqs =
-let
- val fs = fold_rev (fn eq =>
- insert (op =) (eq |> prop_of |> HOLogic.dest_Trueprop
- |> HOLogic.dest_eq |> fst |> strip_comb
- |> fst)) raw_eqs []
- val tys = fold_rev (fn f => fold (insert (op =)) (f |> fastype_of |> binder_types |> tl)
- ) fs []
- val _ = bds := AList.make (fn _ => ([],[])) tys
- val (vs, ctxt') = Variable.variant_fixes (replicate (length tys) "vs") ctxt
- val thy = ProofContext.theory_of ctxt'
- val cert = cterm_of thy
- val vstys = map (fn (t,v) => (t,SOME (cert (Free(v,t)))))
- (tys ~~ vs)
- val is_Var = can dest_Var
- fun insteq eq vs =
- let
- val subst = map (fn (v as Var(n,t)) => (cert v, (valOf o valOf) (AList.lookup (op =) vstys t)))
- (filter is_Var vs)
- in Thm.instantiate ([],subst) eq
- end
- val eqs = map (fn eq => eq |> prop_of |> HOLogic.dest_Trueprop
- |> HOLogic.dest_eq |> fst |> strip_comb |> snd |> tl
- |> (insteq eq)) raw_eqs
- val (ps,congs) = split_list (map (mk_congeq ctxt' fs) eqs)
-in ps ~~ (Variable.export ctxt' ctxt congs)
-end
+ fun mk_congs ctxt raw_eqs =
+ let
+ val fs = fold_rev (fn eq =>
+ insert (op =) (eq |> prop_of |> HOLogic.dest_Trueprop
+ |> HOLogic.dest_eq |> fst |> strip_comb
+ |> fst)) raw_eqs []
+ val tys = fold_rev (fn f => fold (insert (op =)) (f |> fastype_of |> binder_types |> tl)
+ ) fs []
+ val _ = bds := AList.make (fn _ => ([],[])) tys
+ val (vs, ctxt') = Variable.variant_fixes (replicate (length tys) "vs") ctxt
+ val thy = ProofContext.theory_of ctxt'
+ val cert = cterm_of thy
+ val vstys = map (fn (t,v) => (t,SOME (cert (Free(v,t)))))
+ (tys ~~ vs)
+ val is_Var = can dest_Var
+ fun insteq eq vs =
+ let
+ val subst = map (fn (v as Var(n,t)) => (cert v, (valOf o valOf) (AList.lookup (op =) vstys t)))
+ (filter is_Var vs)
+ in Thm.instantiate ([],subst) eq
+ end
- val congs = rearrange (mk_congs ctxt raw_eqs)
- val th = divide_and_conquer (decomp_genreif (mk_decompatom raw_eqs) congs) (t,ctxt)
- fun is_listVar (Var (_,t)) = can dest_listT t
- | is_listVar _ = false
- val vars = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
- |> strip_comb |> snd |> filter is_listVar
- val cert = cterm_of (ProofContext.theory_of ctxt)
- val cvs = map (fn (v as Var(n,t)) => (cert v, the (AList.lookup Type.could_unify (!bds) t) |> snd |> HOLogic.mk_list (dest_listT t) |> cert)) vars
- val th' = instantiate ([], cvs) th
- val t' = (fst o HOLogic.dest_eq o HOLogic.dest_Trueprop o prop_of) th'
- val th'' = Goal.prove ctxt [] [] (HOLogic.mk_Trueprop (HOLogic.mk_eq (t, t')))
- (fn _ => simp_tac (local_simpset_of ctxt) 1)
- val _ = bds := []
-in FWD trans [th'',th']
-end
+ val eqs = map (fn eq => eq |> prop_of |> HOLogic.dest_Trueprop
+ |> HOLogic.dest_eq |> fst |> strip_comb |> snd |> tl
+ |> (insteq eq)) raw_eqs
+ val (ps,congs) = split_list (map (mk_congeq ctxt' fs) eqs)
+ in ps ~~ (Variable.export ctxt' ctxt congs)
+ end
+
+ val congs = rearrange (mk_congs ctxt raw_eqs)
+ val th = divide_and_conquer (decomp_genreif (mk_decompatom raw_eqs) congs) (t,ctxt)
+ fun is_listVar (Var (_,t)) = can dest_listT t
+ | is_listVar _ = false
+ val vars = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd
+ |> strip_comb |> snd |> filter is_listVar
+ val cert = cterm_of (ProofContext.theory_of ctxt)
+ val cvs = map (fn (v as Var(n,t)) => (cert v,
+ the (AList.lookup Type.could_unify (!bds) t) |> snd |> HOLogic.mk_list (dest_listT t) |> cert)) vars
+ val th' = instantiate ([], cvs) th
+ val t' = (fst o HOLogic.dest_eq o HOLogic.dest_Trueprop o prop_of) th'
+ val th'' = Goal.prove ctxt [] [] (HOLogic.mk_Trueprop (HOLogic.mk_eq (t, t')))
+ (fn _ => simp_tac (local_simpset_of ctxt) 1)
+ val _ = bds := []
+ in FWD trans [th'',th']
+ end
fun genreflect ctxt conv corr_thms raw_eqs t =
-let
- val reifth = genreif ctxt raw_eqs t
- fun trytrans [] = error "No suitable correctness theorem found"
- | trytrans (th::ths) =
- (FWD trans [reifth, th RS sym] handle THM _ => trytrans ths)
- val th = trytrans corr_thms
- val ft = (Thm.dest_arg1 o Thm.dest_arg o Thm.dest_arg o cprop_of) th
- val rth = conv ft
-in simplify (HOL_basic_ss addsimps raw_eqs addsimps [nth_Cons_0, nth_Cons_Suc])
- (simplify (HOL_basic_ss addsimps [rth]) th)
-end
+ let
+ val reifth = genreif ctxt raw_eqs t
+ fun trytrans [] = error "No suitable correctness theorem found"
+ | trytrans (th::ths) =
+ (FWD trans [reifth, th RS sym] handle THM _ => trytrans ths)
+ val th = trytrans corr_thms
+ val ft = (Thm.dest_arg1 o Thm.dest_arg o Thm.dest_arg o cprop_of) th
+ val rth = conv ft
+ in simplify (HOL_basic_ss addsimps raw_eqs addsimps [nth_Cons_0, nth_Cons_Suc])
+ (simplify (HOL_basic_ss addsimps [rth]) th)
+ end
fun genreify_tac ctxt eqs to i = (fn st =>
let