equal
deleted
inserted
replaced
761 than they really were. For example, this ``fully automatic'' proof |
761 than they really were. For example, this ``fully automatic'' proof |
762 is actually a fake: |
762 is actually a fake: |
763 *} |
763 *} |
764 |
764 |
765 lemma "x \<noteq> (0::int) \<Longrightarrow> 0 < x * x" |
765 lemma "x \<noteq> (0::int) \<Longrightarrow> 0 < x * x" |
766 by (auto(*<*)simp add: int_less_le(*>*)) |
766 by (auto(*<*)simp add: zero_less_mult_iff(*>*)) |
767 |
767 |
768 text {* |
768 text {* |
769 \noindent Here the real source of the proof has been as follows: |
769 \noindent Here the real source of the proof has been as follows: |
770 |
770 |
771 \begin{verbatim} |
771 \begin{verbatim} |
772 by (auto(*<*)simp add: int_less_le(*>*)) |
772 by (auto(*<*)simp add: zero_less_mult_iff(*>*)) |
773 \end{verbatim} |
773 \end{verbatim} |
774 %(* |
774 %(* |
775 |
775 |
776 \medskip Suppressing portions of printed text demands care. You |
776 \medskip Suppressing portions of printed text demands care. You |
777 should not misrepresent the underlying theory development. It is |
777 should not misrepresent the underlying theory development. It is |