src/HOL/Hyperreal/Series.ML
changeset 12481 ea5d6da573c5
parent 12224 02df7cbe7d25
child 12486 0ed8bdd883e0
equal deleted inserted replaced
12480:32e67277a4b9 12481:ea5d6da573c5
    84 qed "sumr_const";
    84 qed "sumr_const";
    85 Addsimps [sumr_const];
    85 Addsimps [sumr_const];
    86 
    86 
    87 Goal "sumr 0 n f + -(real n * r) = sumr 0 n (%i. f i + -r)";
    87 Goal "sumr 0 n f + -(real n * r) = sumr 0 n (%i. f i + -r)";
    88 by (full_simp_tac (simpset() addsimps [sumr_add RS sym,
    88 by (full_simp_tac (simpset() addsimps [sumr_add RS sym,
    89     real_minus_mult_eq2] delsimps [real_minus_mult_eq2 RS sym]) 1);
    89     real_minus_mult_eq2] delsimps [real_mult_minus_eq2]) 1);
    90 qed "sumr_add_mult_const";
    90 qed "sumr_add_mult_const";
    91 
    91 
    92 Goalw [real_diff_def] 
    92 Goalw [real_diff_def] 
    93      "sumr 0 n f - (real n*r) = sumr 0 n (%i. f i - r)";
    93      "sumr 0 n f - (real n*r) = sumr 0 n (%i. f i - r)";
    94 by (full_simp_tac (simpset() addsimps [sumr_add_mult_const]) 1);
    94 by (full_simp_tac (simpset() addsimps [sumr_add_mult_const]) 1);