# HG changeset patch # User hoelzl # Date 1298387243 -3600 # Node ID 455cbcbba8c2aad99a02f91daed33afb864c8177 # Parent 7a55699805dc4c3d5398cef0b42334cd52eb4fff add name continuous_isCont to unnamed lemma diff -r 7a55699805dc -r 455cbcbba8c2 src/HOL/Multivariate_Analysis/Derivative.thy --- a/src/HOL/Multivariate_Analysis/Derivative.thy Mon Feb 21 23:54:53 2011 +0100 +++ b/src/HOL/Multivariate_Analysis/Derivative.thy Tue Feb 22 16:07:23 2011 +0100 @@ -530,8 +530,8 @@ shows "(f has_derivative f') (at x) \ (f has_derivative f'') (at x) \ f' = f''" unfolding FDERIV_conv_has_derivative [symmetric] by (rule FDERIV_unique) - -lemma "isCont f x = continuous (at x) f" unfolding isCont_def LIM_def + +lemma continuous_isCont: "isCont f x = continuous (at x) f" unfolding isCont_def LIM_def unfolding continuous_at Lim_at unfolding dist_nz by auto lemma frechet_derivative_unique_within_closed_interval: fixes f::"'a::ordered_euclidean_space \ 'b::real_normed_vector"