# HG changeset patch # User nipkow # Date 1512572475 -3600 # Node ID cef9a1514ed0a2b3fa99c727393d21d315cd0398 # Parent db609ac2c3073683b06fdf03aff96dd5f391c622 removed (un)important tags again to make latex happy diff -r db609ac2c307 -r cef9a1514ed0 src/HOL/Analysis/L2_Norm.thy --- a/src/HOL/Analysis/L2_Norm.thy Wed Dec 06 15:17:05 2017 +0100 +++ b/src/HOL/Analysis/L2_Norm.thy Wed Dec 06 16:01:15 2017 +0100 @@ -8,7 +8,7 @@ imports Complex_Main begin -definition %important +definition "setL2 f A = sqrt (\i\A. (f i)\<^sup>2)" lemma setL2_cong: @@ -74,9 +74,9 @@ unfolding setL2_def by (simp add: sum_nonneg sum_nonneg_eq_0_iff) -lemma %important setL2_triangle_ineq: +lemma setL2_triangle_ineq: shows "setL2 (\i. f i + g i) A \ setL2 f A + setL2 g A" -proof %unimportant (cases "finite A") +proof (cases "finite A") case False thus ?thesis by simp next