src/HOL/NSA/NSComplex.thy
changeset 44846 e9d1fcbc7d20
parent 44842 282eef2c0f77
child 47108 2a1953f0d20d
     1.1 --- a/src/HOL/NSA/NSComplex.thy	Thu Sep 08 08:41:28 2011 -0700
     1.2 +++ b/src/HOL/NSA/NSComplex.thy	Thu Sep 08 10:07:53 2011 -0700
     1.3 @@ -457,14 +457,6 @@
     1.4  (*  harg                                                                     *)
     1.5  (*---------------------------------------------------------------------------*)
     1.6  
     1.7 -lemma cos_harg_i_mult_zero_pos:
     1.8 -     "!!y. 0 < y ==> ( *f* cos) (harg(HComplex 0 y)) = 0"
     1.9 -by transfer (rule cos_arg_i_mult_zero_pos)
    1.10 -
    1.11 -lemma cos_harg_i_mult_zero_neg:
    1.12 -     "!!y. y < 0 ==> ( *f* cos) (harg(HComplex 0 y)) = 0"
    1.13 -by transfer (rule cos_arg_i_mult_zero_neg)
    1.14 -
    1.15  lemma cos_harg_i_mult_zero [simp]:
    1.16       "!!y. y \<noteq> 0 ==> ( *f* cos) (harg(HComplex 0 y)) = 0"
    1.17  by transfer (rule cos_arg_i_mult_zero)