changeset 67969 | 83c8cafdebe8 |
parent 67683 | 817944aeac3f |
child 68361 | 20375f232f3b |
--- a/src/HOL/Groups_Big.thy Sun Apr 08 12:31:08 2018 +0200 +++ b/src/HOL/Groups_Big.thy Mon Apr 09 15:20:11 2018 +0100 @@ -1335,7 +1335,7 @@ for f :: "'a \<Rightarrow> nat" using prod_zero_iff by (simp del: neq0_conv add: zero_less_iff_neq_zero) -lemma prod_constant: "(\<Prod>x\<in> A. y) = y ^ card A" +lemma prod_constant [simp]: "(\<Prod>x\<in> A. y) = y ^ card A" for y :: "'a::comm_monoid_mult" by (induct A rule: infinite_finite_induct) simp_all