src/HOL/ex/Perm_Fragments.thy
changeset 67226 ec32cdaab97b
parent 66453 cc19f7ca2ed6
child 68084 152cc388cd1e
equal deleted inserted replaced
67225:cb34f5f49a08 67226:ec32cdaab97b
    95 qed
    95 qed
    96 
    96 
    97 lemma orbit_cycle_elem:
    97 lemma orbit_cycle_elem:
    98   assumes "distinct as" and "a \<in> set as"
    98   assumes "distinct as" and "a \<in> set as"
    99   shows "orbit \<langle>as\<rangle> a = set as"
    99   shows "orbit \<langle>as\<rangle> a = set as"
   100   oops -- \<open>(we need rotation here\<close>
   100   oops \<comment> \<open>(we need rotation here\<close>
   101 
   101 
   102 lemma order_cycle_elem:
   102 lemma order_cycle_elem:
   103   assumes "distinct as" and "a \<in> set as"
   103   assumes "distinct as" and "a \<in> set as"
   104   shows "order \<langle>as\<rangle> a = length as"
   104   shows "order \<langle>as\<rangle> a = length as"
   105   oops
   105   oops