src/HOLCF/IOA/ABP/Lemmas.ML
changeset 14401 477380c74c1d
parent 13524 604d0f3622d6
child 14981 e73f8140af78
equal deleted inserted replaced
14400:6069098854b9 14401:477380c74c1d
    35  by (Fast_tac 1);
    35  by (Fast_tac 1);
    36 val de_morgan = result();
    36 val de_morgan = result();
    37 
    37 
    38 (* Lists *)
    38 (* Lists *)
    39 
    39 
    40 val list_ss = simpset_of List.thy;
    40 Goal "hd(l@m) = (if l~=[] then hd(l) else hd(m))";
    41 
       
    42 goal List.thy "hd(l@m) = (if l~=[] then hd(l) else hd(m))";
       
    43 by (induct_tac "l" 1);
    41 by (induct_tac "l" 1);
    44 by (simp_tac list_ss 1);
    42 by (Simp_tac 1);
    45 by (simp_tac list_ss 1);
    43 by (Simp_tac 1);
    46 val hd_append =result();
    44 val hd_append =result();
    47 
    45 
    48 goal List.thy "l ~= [] --> (? x xs. l = (x#xs))";
    46 Goal "l ~= [] --> (? x xs. l = (x#xs))";
    49  by (induct_tac "l" 1);
    47  by (induct_tac "l" 1);
    50  by (simp_tac list_ss 1);
    48  by (Simp_tac 1);
    51  by (Fast_tac 1);
    49  by (Fast_tac 1);
    52 qed"cons_not_nil";
    50 qed"cons_not_nil";