1.1 --- a/src/Tools/isac/IsacKnowledge/Integrate.thy Wed Aug 25 15:15:01 2010 +0200
1.2 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
1.3 @@ -1,54 +0,0 @@
1.4 -(* integration over the reals
1.5 - author: Walther Neuper
1.6 - 050814, 08:51
1.7 - (c) due to copyright terms
1.8 -
1.9 -remove_thy"Integrate";
1.10 -use_thy"IsacKnowledge/Integrate";
1.11 -use_thy_only"IsacKnowledge/Integrate";
1.12 -
1.13 -remove_thy"Typefix";
1.14 -use_thy"IsacKnowledge/Isac";
1.15 -*)
1.16 -
1.17 -Integrate = Diff +
1.18 -
1.19 -consts
1.20 -
1.21 - Integral :: "[real, real]=> real" ("Integral _ D _" 91)
1.22 -(*new'_c :: "real => real" ("new'_c _" 66)*)
1.23 - is'_f'_x :: "real => bool" ("_ is'_f'_x" 10)
1.24 -
1.25 - (*descriptions in the related problems*)
1.26 - integrateBy :: real => una
1.27 - antiDerivative :: real => una
1.28 - antiDerivativeName :: (real => real) => una
1.29 -
1.30 - (*the CAS-command, eg. "Integrate (2*x^^^3, x)"*)
1.31 - Integrate :: "[real * real] => real"
1.32 -
1.33 - (*Script-names*)
1.34 - IntegrationScript :: "[real,real, real] => real"
1.35 - ("((Script IntegrationScript (_ _ =))// (_))" 9)
1.36 - NamedIntegrationScript :: "[real,real, real=>real, bool] => bool"
1.37 - ("((Script NamedIntegrationScript (_ _ _=))// (_))" 9)
1.38 -
1.39 -rules
1.40 -(*stated as axioms, todo: prove as theorems
1.41 - 'bdv' is a constant handled on the meta-level
1.42 - specifically as a 'bound variable' *)
1.43 -
1.44 - integral_const "Not (bdv occurs_in u) ==> Integral u D bdv = u * bdv"
1.45 - integral_var "Integral bdv D bdv = bdv ^^^ 2 / 2"
1.46 -
1.47 - integral_add "Integral (u + v) D bdv = \
1.48 - \(Integral u D bdv) + (Integral v D bdv)"
1.49 - integral_mult "[| Not (bdv occurs_in u); bdv occurs_in v |] ==> \
1.50 - \Integral (u * v) D bdv = u * (Integral v D bdv)"
1.51 -(*WN080222: this goes into sub-terms, too ...
1.52 - call_for_new_c "[| Not (matches (u + new_c v) a); Not (a is_f_x) |] ==> \
1.53 - \a = a + new_c a"
1.54 -*)
1.55 - integral_pow "Integral bdv ^^^ n D bdv = bdv ^^^ (n+1) / (n + 1)"
1.56 -
1.57 -end
1.58 \ No newline at end of file