equal
deleted
inserted
replaced
3 *) |
3 *) |
4 |
4 |
5 section \<open>Complex Transcendental Functions\<close> |
5 section \<open>Complex Transcendental Functions\<close> |
6 |
6 |
7 theory Complex_Transcendental |
7 theory Complex_Transcendental |
8 imports "~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics" |
8 imports Complex_Analysis_Basics |
9 begin |
9 begin |
10 |
10 |
11 lemma cmod_add_real_less: |
11 lemma cmod_add_real_less: |
12 assumes "Im z \<noteq> 0" "r\<noteq>0" |
12 assumes "Im z \<noteq> 0" "r\<noteq>0" |
13 shows "cmod (z + r) < cmod z + abs r" |
13 shows "cmod (z + r) < cmod z + abs r" |