| changeset 33667 | 958dc9f03611 |
| parent 32038 | 4127b89f48ab |
| child 36777 | be5461582d0f |
--- a/src/HOL/Ln.thy Fri Nov 13 11:34:05 2009 +0000 +++ b/src/HOL/Ln.thy Fri Nov 13 17:15:12 2009 +0000 @@ -342,9 +342,6 @@ apply auto done -lemma DERIV_ln: "0 < x ==> DERIV ln x :> 1 / x" - by (rule DERIV_ln[THEN DERIV_cong], simp, simp add: divide_inverse) - lemma ln_x_over_x_mono: "exp 1 <= x ==> x <= y ==> (ln y / y) <= (ln x / x)" proof - assume "exp 1 <= x" and "x <= y"