diff -r fb28eaa07e01 -r 3ea049f7979d src/HOL/AxClasses/Tutorial/Group.ML --- a/src/HOL/AxClasses/Tutorial/Group.ML Mon Jun 22 17:13:09 1998 +0200 +++ b/src/HOL/AxClasses/Tutorial/Group.ML Mon Jun 22 17:26:46 1998 +0200 @@ -11,7 +11,7 @@ fun ssub r = standard (r RS ssubst); -goal Group.thy "x <*> inverse x = (1::'a::group)"; +Goal "x <*> inverse x = (1::'a::group)"; by (rtac (sub left_unit) 1); back(); by (rtac (sub assoc) 1); @@ -28,7 +28,7 @@ qed "right_inverse"; -goal Group.thy "x <*> 1 = (x::'a::group)"; +Goal "x <*> 1 = (x::'a::group)"; by (rtac (sub left_inverse) 1); by (rtac (sub assoc) 1); by (rtac (ssub right_inverse) 1); @@ -37,7 +37,7 @@ qed "right_unit"; -goal Group.thy "e <*> x = x --> e = (1::'a::group)"; +Goal "e <*> x = x --> e = (1::'a::group)"; by (rtac impI 1); by (rtac (sub right_unit) 1); back(); @@ -49,7 +49,7 @@ qed "strong_one_unit"; -goal Group.thy "EX! e. ALL x. e <*> x = (x::'a::group)"; +Goal "EX! e. ALL x. e <*> x = (x::'a::group)"; by (rtac ex1I 1); by (rtac allI 1); by (rtac left_unit 1); @@ -60,7 +60,7 @@ qed "ex1_unit"; -goal Group.thy "ALL x. EX! e. e <*> x = (x::'a::group)"; +Goal "ALL x. EX! e. e <*> x = (x::'a::group)"; by (rtac allI 1); by (rtac ex1I 1); by (rtac left_unit 1); @@ -69,7 +69,7 @@ qed "ex1_unit'"; -goal Group.thy "y <*> x = 1 --> y = inverse (x::'a::group)"; +Goal "y <*> x = 1 --> y = inverse (x::'a::group)"; by (rtac impI 1); by (rtac (sub right_unit) 1); back(); @@ -85,7 +85,7 @@ qed "one_inverse"; -goal Group.thy "ALL x. EX! y. y <*> x = (1::'a::group)"; +Goal "ALL x. EX! y. y <*> x = (1::'a::group)"; by (rtac allI 1); by (rtac ex1I 1); by (rtac left_inverse 1); @@ -95,7 +95,7 @@ qed "ex1_inverse"; -goal Group.thy "inverse (x <*> y) = inverse y <*> inverse (x::'a::group)"; +Goal "inverse (x <*> y) = inverse y <*> inverse (x::'a::group)"; by (rtac sym 1); by (rtac mp 1); by (rtac one_inverse 1); @@ -109,7 +109,7 @@ qed "inverse_product"; -goal Group.thy "inverse (inverse x) = (x::'a::group)"; +Goal "inverse (inverse x) = (x::'a::group)"; by (rtac sym 1); by (rtac (one_inverse RS mp) 1); by (rtac (ssub right_inverse) 1);