hg id 9ffbb4004c81 HOL-Decision_Procs FAILED (see also /data/tum/isabelle/master/heaps/polyml-5.5.1_x86-linux/log/HOL-Decision_Procs)
*** else 0) * *** real x ^ m) + *** cos (t + real n * pi) * real x ^ (2 * n) / *** real (fact (2 * n)) = *** (SUM i = 0..<2 * n. *** (if even i then (- 1) ^ (i div 2) / real (fact i) *** else 0) * *** real x ^ i) + *** cos (ta + real n * pi) * real x ^ (2 * n) / *** real (fact (2 * n)) |] *** ==> thesis; *** 0 < t; t < real x; *** cos (real x) = *** (SUM m<2 * n. *** (if even m then (- 1) ^ (m div 2) / real (fact m) else 0) * *** real x ^ m) + *** cos (t + real n * pi) * real x ^ (2 * n) / *** real (fact (2 * n)) |] *** ==> thesis *** At command "by" (line 761 of "~~/src/HOL/Decision_Procs/Approximation.thy") I guess this is due to http://isabelle.in.tum.de/reports/Isabelle/rev/c726ecfb22b6. Florian -- PGP available: http://home.informatik.tu-muenchen.de/haftmann/pgp/florian_haftmann_at_informatik_tu_muenchen_de
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