src/HOL/Library/Formal_Power_Series.thy
changeset 64240 eabf80376aab
parent 63918 6bf55e6e0b75
child 64242 93c6f0da5c70
equal deleted inserted replaced
64239:de5cd9217d4c 64240:eabf80376aab
  3011 ultimately show ?thesis by (cases k, auto)
  3011 ultimately show ?thesis by (cases k, auto)
  3012 qed
  3012 qed
  3013 *)
  3013 *)
  3014 
  3014 
  3015 lemma fps_divide_1 [simp]: "(a :: 'a::field fps) / 1 = a"
  3015 lemma fps_divide_1 [simp]: "(a :: 'a::field fps) / 1 = a"
  3016   by (fact divide_1)
  3016   by (fact div_by_1)
  3017 
  3017 
  3018 lemma radical_divide:
  3018 lemma radical_divide:
  3019   fixes a :: "'a::field_char_0 fps"
  3019   fixes a :: "'a::field_char_0 fps"
  3020   assumes kp: "k > 0"
  3020   assumes kp: "k > 0"
  3021     and ra0: "(r k (a $ 0)) ^ k = a $ 0"
  3021     and ra0: "(r k (a $ 0)) ^ k = a $ 0"