diff -r ff6559234a89 -r f3bb32a68f16 src/HOL/Hyperreal/NSA.thy --- a/src/HOL/Hyperreal/NSA.thy Wed May 09 18:25:21 2007 +0200 +++ b/src/HOL/Hyperreal/NSA.thy Wed May 09 18:25:44 2007 +0200 @@ -103,6 +103,11 @@ "\x y::'a::real_normed_div_algebra star. hnorm (x * y) = hnorm x * hnorm y" by transfer (rule norm_mult) +lemma hnorm_hyperpow: + "\(x::'a::{real_normed_div_algebra,recpower} star) n. + hnorm (x pow n) = hnorm x pow n" +by transfer (rule norm_power) + lemma hnorm_one [simp]: "hnorm (1\'a::real_normed_div_algebra star) = 1" by transfer (rule norm_one)