changeset 32650 | 34bfa2492298 |
parent 32642 | 026e7c6a6d08 |
child 36661 | 0a5b7b818d65 |
--- a/src/HOL/Lim.thy Wed Sep 23 11:06:32 2009 +0100 +++ b/src/HOL/Lim.thy Wed Sep 23 13:17:17 2009 +0200 @@ -84,6 +84,8 @@ lemma LIM_const [simp]: "(%x. k) -- x --> k" by (simp add: LIM_def) +lemma LIM_cong_limit: "\<lbrakk> f -- x --> L ; K = L \<rbrakk> \<Longrightarrow> f -- x --> K" by simp + lemma LIM_add: fixes f g :: "'a::metric_space \<Rightarrow> 'b::real_normed_vector" assumes f: "f -- a --> L" and g: "g -- a --> M"