equal
deleted
inserted
replaced
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" |