src/HOL/Subst/AList.ML
changeset 972 e61b058d58d2
parent 968 3cdaa8724175
child 1266 3ae9fe3c0f68
equal deleted inserted replaced
971:f4815812665b 972:e61b058d58d2
    10 val al_rews = 
    10 val al_rews = 
    11   let fun mk_thm s = prove_goalw AList.thy [alist_rec_def,assoc_def] s 
    11   let fun mk_thm s = prove_goalw AList.thy [alist_rec_def,assoc_def] s 
    12                             (fn _ => [simp_tac list_ss 1])
    12                             (fn _ => [simp_tac list_ss 1])
    13   in map mk_thm 
    13   in map mk_thm 
    14      ["alist_rec [] c d = c",
    14      ["alist_rec [] c d = c",
    15       "alist_rec (<a,b>#al) c d = d a b al (alist_rec al c d)",
    15       "alist_rec ((a,b)#al) c d = d a b al (alist_rec al c d)",
    16       "assoc v d [] = d",
    16       "assoc v d [] = d",
    17       "assoc v d (<a,b>#al) = (if v=a then b else assoc v d al)"] end;
    17       "assoc v d ((a,b)#al) = (if v=a then b else assoc v d al)"] end;
    18 
    18 
    19 val prems = goal AList.thy
    19 val prems = goal AList.thy
    20     "[| P([]);   \
    20     "[| P([]);   \
    21 \       !!x y xs. P(xs) ==> P(<x,y>#xs) |]  ==> P(l)";
    21 \       !!x y xs. P(xs) ==> P((x,y)#xs) |]  ==> P(l)";
    22 by (list.induct_tac "l" 1);
    22 by (list.induct_tac "l" 1);
    23 by (resolve_tac prems 1);
    23 by (resolve_tac prems 1);
    24 by (rtac PairE 1);
    24 by (rtac PairE 1);
    25 by (etac ssubst 1);
    25 by (etac ssubst 1);
    26 by (resolve_tac prems 1);
    26 by (resolve_tac prems 1);