1.1 --- a/src/Tools/isac/IsacKnowledge/LinEq.thy Wed Aug 25 15:15:01 2010 +0200
1.2 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
1.3 @@ -1,50 +0,0 @@
1.4 -(*. (c) by Richard Lang, 2003 .*)
1.5 -(* theory collecting all knowledge for LinearEquations
1.6 - created by: rlang
1.7 - date: 02.10
1.8 - changed by: rlang
1.9 - last change by: rlang
1.10 - date: 02.10.20
1.11 -*)
1.12 -
1.13 -(*
1.14 - use"knowledge/LinEq.ML";
1.15 - use"LinEq.ML";
1.16 -
1.17 - use"ROOT.ML";
1.18 - cd"knowledge";
1.19 -
1.20 -*)
1.21 -
1.22 -LinEq = Poly + Equation +
1.23 -
1.24 -(*-------------------- consts------------------------------------------------*)
1.25 -consts
1.26 - Solve'_lineq'_equation
1.27 - :: "[bool,real, \
1.28 - \ bool list] => bool list"
1.29 - ("((Script Solve'_lineq'_equation (_ _ =))// \
1.30 - \ (_))" 9)
1.31 -
1.32 -(*-------------------- rules -------------------------------------------------*)
1.33 -rules
1.34 -(*-- normalize --*)
1.35 - (*WN0509 compare PolyEq.all_left "[|Not(b=!=0)|] ==> (a = b) = (a - b = 0)"*)
1.36 - all_left
1.37 - "[|Not(b=!=0)|] ==> (a=b) = (a+(-1)*b=0)"
1.38 - makex1_x
1.39 - "a^^^1 = a"
1.40 - real_assoc_1
1.41 - "a+(b+c) = a+b+c"
1.42 - real_assoc_2
1.43 - "a*(b*c) = a*b*c"
1.44 -
1.45 -(*-- solve --*)
1.46 - lin_isolate_add1
1.47 - "(a + b*bdv = 0) = (b*bdv = (-1)*a)"
1.48 - lin_isolate_add2
1.49 - "(a + bdv = 0) = ( bdv = (-1)*a)"
1.50 - lin_isolate_div
1.51 - "[|Not(b=0)|] ==> (b*bdv = c) = (bdv = c / b)"
1.52 -end
1.53 -