diff -r cbc38731d42f -r 8ea7b22525cb src/HOL/Probability/Borel_Space.thy --- a/src/HOL/Probability/Borel_Space.thy Tue Mar 03 19:08:04 2015 +0100 +++ b/src/HOL/Probability/Borel_Space.thy Wed Mar 04 23:31:04 2015 +0100 @@ -1061,10 +1061,6 @@ by (auto simp: vimage_def measurable_count_space_eq2_countable) qed -lemma measurable_real_natfloor[measurable]: - "(natfloor :: real \ nat) \ measurable borel (count_space UNIV)" - by (simp add: natfloor_def[abs_def]) - lemma measurable_real_ceiling[measurable]: "(ceiling :: real \ int) \ measurable borel (count_space UNIV)" unfolding ceiling_def[abs_def] by simp @@ -1072,10 +1068,6 @@ lemma borel_measurable_real_floor: "(\x::real. real \x\) \ borel_measurable borel" by simp -lemma borel_measurable_real_natfloor: - "f \ borel_measurable M \ (\x. real (natfloor (f x))) \ borel_measurable M" - by simp - lemma borel_measurable_root [measurable]: "root n \ borel_measurable borel" by (intro borel_measurable_continuous_on1 continuous_intros)