# HG changeset patch # User paulson # Date 961155219 -7200 # Node ID 8a15c357777053ed318a1655210e3ab40fbcd160 # Parent d54b2c41fe0e04f3672f6ba138a9e74d86433e9e uncommented the last 2 examples; tidied diff -r d54b2c41fe0e -r 8a15c3577770 src/HOL/Real/ex/BinEx.ML --- a/src/HOL/Real/ex/BinEx.ML Fri Jun 16 13:32:59 2000 +0200 +++ b/src/HOL/Real/ex/BinEx.ML Fri Jun 16 13:33:39 2000 +0200 @@ -326,12 +326,10 @@ Goal "!!a::real. [| a <= b; b+b <= c |] ==> a+a <= c"; by (fast_arith_tac 1); -Goal "!!a::real. [| a+b <= i+j; a<=b; i<=j |] \ -\ ==> a+a <= j+j"; +Goal "!!a::real. [| a+b <= i+j; a<=b; i<=j |] ==> a+a <= j+j"; by (fast_arith_tac 1); -Goal "!!a::real. [| a+b < i+j; a a+a < j+j"; +Goal "!!a::real. [| a+b < i+j; a a+a < j+j"; by (fast_arith_tac 1); Goal "!!a::real. a+b+c <= i+j+k & a<=b & b<=c & i<=j & j<=k --> a+a+a <= k+k+k"; @@ -345,7 +343,6 @@ \ ==> a+a+a+a <= l+l+l+l"; by (fast_arith_tac 1); -(* Too slow. Needs "combine_coefficients" simproc Goal "!!a::real. [| a+b+c+d <= i+j+k+l; a<=b; b<=c; c<=d; i<=j; j<=k; k<=l |] \ \ ==> a+a+a+a+a <= l+l+l+l+i"; by (fast_arith_tac 1); @@ -353,5 +350,4 @@ Goal "!!a::real. [| a+b+c+d <= i+j+k+l; a<=b; b<=c; c<=d; i<=j; j<=k; k<=l |] \ \ ==> a+a+a+a+a+a <= l+l+l+l+i+l"; by (fast_arith_tac 1); -*)