author | paulson <lp15@cam.ac.uk> |
Thu, 28 Nov 2019 15:51:54 +0000 | |
changeset 71168 | 11e1e273eaad |
parent 71167 | b4d409c65a76 |
child 71169 | df1d96114754 |
child 71170 | 57bc95d23491 |
--- a/src/HOL/ex/SOS.thy Tue Nov 26 14:32:08 2019 +0000 +++ b/src/HOL/ex/SOS.thy Thu Nov 28 15:51:54 2019 +0000 @@ -124,7 +124,7 @@ by sos lemma "(x::real) - y - 2 * x^4 = 0 \<and> 0 \<le> x \<and> x \<le> 2 \<and> 0 \<le> y \<and> y \<le> 3 \<longrightarrow> y\<^sup>2 - 7 * y - 12 * x + 17 \<ge> 0" - oops (*Too hard?*) + oops (*Too hard; left it running for 80 minutes -- LCP*) lemma "(0::real) \<le> x \<longrightarrow> (1 + x + x\<^sup>2) / (1 + x\<^sup>2) \<le> 1 + x" by sos