src/HOL/List.thy
changeset 82702 32dd31062eaa
parent 82700 2e139be2d136
child 82704 e0fb46018187
equal deleted inserted replaced
82701:878f37493934 82702:32dd31062eaa
  4738 
  4738 
  4739 subsubsection \<open>\<^const>\<open>minus_list_set\<close>\<close>
  4739 subsubsection \<open>\<^const>\<open>minus_list_set\<close>\<close>
  4740 
  4740 
  4741 text \<open>Conceptually, the result of \<^const>\<open>minus_list_set\<close> is only determined up to the set of elements:\<close>
  4741 text \<open>Conceptually, the result of \<^const>\<open>minus_list_set\<close> is only determined up to the set of elements:\<close>
  4742 
  4742 
  4743 lemma set_minus_list_set: "set(minus_list_set xs ys) = set xs - set ys"
  4743 lemma set_minus_list_set[simp]: "set(minus_list_set xs ys) = set xs - set ys"
  4744 by(induction ys) (auto simp: minus_list_set_def)
  4744 by(induction ys) (auto simp: minus_list_set_def)
  4745 
  4745 
  4746 lemma minus_list_set_Nil2[simp]: "minus_list_set xs [] = xs"
  4746 lemma minus_list_set_Nil2[simp]: "minus_list_set xs [] = xs"
  4747 by(simp add: minus_list_set_def)
  4747 by(simp add: minus_list_set_def)
  4748 
  4748