src/HOL/Transcendental.thy
changeset 60241 cde717a55db7
parent 60036 218fcc645d22
child 60301 ff82ba1893c8
--- a/src/HOL/Transcendental.thy	Sun May 03 16:44:38 2015 +0200
+++ b/src/HOL/Transcendental.thy	Sun May 03 16:45:07 2015 +0200
@@ -987,8 +987,7 @@
   unfolding exp_def by (rule summable_exp_generic [THEN summable_sums])
 
 lemma exp_fdiffs:
-  fixes XXX :: "'a::{real_normed_field,banach}"
-  shows "diffs (\<lambda>n. inverse (fact n)) = (\<lambda>n. inverse (fact n :: 'a))"
+  "diffs (\<lambda>n. inverse (fact n)) = (\<lambda>n. inverse (fact n :: 'a::{real_normed_field,banach}))"
   by (simp add: diffs_def mult_ac nonzero_inverse_mult_distrib nonzero_of_real_inverse
            del: mult_Suc of_nat_Suc)
 
@@ -3758,8 +3757,7 @@
   where "tan = (\<lambda>x. sin x / cos x)"
 
 lemma tan_of_real:
-  fixes XXX :: "'a::{real_normed_field,banach}"
-  shows  "of_real(tan x) = (tan(of_real x) :: 'a)"
+  "of_real (tan x) = (tan (of_real x) :: 'a::{real_normed_field,banach})"
   by (simp add: tan_def sin_of_real cos_of_real)
 
 lemma tan_in_Reals [simp]: