equal
deleted
inserted
replaced
326 (diff n t / real (fact n)) * x ^ n" |
326 (diff n t / real (fact n)) * x ^ n" |
327 apply (rule_tac x = x and y = 0 in linorder_cases) |
327 apply (rule_tac x = x and y = 0 in linorder_cases) |
328 prefer 2 apply blast |
328 prefer 2 apply blast |
329 apply (drule_tac [2] diff=diff in Maclaurin) |
329 apply (drule_tac [2] diff=diff in Maclaurin) |
330 apply (drule_tac diff=diff in Maclaurin_minus, simp_all, safe) |
330 apply (drule_tac diff=diff in Maclaurin_minus, simp_all, safe) |
331 apply (rule_tac [!] x = t in exI, auto, arith+) |
331 apply (rule_tac [!] x = t in exI, auto) |
332 done |
332 done |
333 |
333 |
334 lemma Maclaurin_all_lt_objl: |
334 lemma Maclaurin_all_lt_objl: |
335 "diff 0 = f & |
335 "diff 0 = f & |
336 (\<forall>m x. DERIV (diff m) x :> diff(Suc m) x) & |
336 (\<forall>m x. DERIV (diff m) x :> diff(Suc m) x) & |