changeset 23413 | 5caa2710dd5b |
parent 21404 | eb85850d3eb7 |
child 27556 | 292098f2efdf |
--- a/src/HOL/Complex/ex/Sqrt.thy Sun Jun 17 13:39:50 2007 +0200 +++ b/src/HOL/Complex/ex/Sqrt.thy Sun Jun 17 18:47:03 2007 +0200 @@ -44,8 +44,7 @@ have "\<bar>x\<bar> = real ?k / real ?l" proof - from gcd have "real ?k / real ?l = - real (?gcd * ?k) / real (?gcd * ?l)" - by (simp add: mult_divide_cancel_left) + real (?gcd * ?k) / real (?gcd * ?l)" by simp also from gcd_k and gcd_l have "\<dots> = real m / real n" by simp also from x_rat have "\<dots> = \<bar>x\<bar>" .. finally show ?thesis ..