# HG changeset patch # User huffman # Date 1313017008 25200 # Node ID abccf1b7ea4ba40b680efbda9ab8e83ded4d0b31 # Parent 0c9feac80852253733319b28f0031b1ac25b979f remove redundant lemma diff -r 0c9feac80852 -r abccf1b7ea4b src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy --- a/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy Wed Aug 10 14:25:56 2011 -0700 +++ b/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thy Wed Aug 10 15:56:48 2011 -0700 @@ -1031,9 +1031,6 @@ (\e>0. \N. \n\N. dist (S n) l < e)" by (auto simp add: tendsto_iff eventually_sequentially) -lemma Lim_sequentially_iff_LIMSEQ: "(S ---> l) sequentially \ S ----> l" - unfolding Lim_sequentially LIMSEQ_def .. - lemma Lim_eventually: "eventually (\x. f x = l) net \ (f ---> l) net" by (rule topological_tendstoI, auto elim: eventually_rev_mono)