[isabelle] Transitivity reasoning in Isar with \ge
- To: isabelle-users <isabelle-users at cl.cam.ac.uk>
- Subject: [isabelle] Transitivity reasoning in Isar with \ge
- From: Peter Lammich <lammich at in.tum.de>
- Date: Fri, 09 Sep 2011 14:46:01 +0200
- User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:126.96.36.199) Gecko/20101125 SUSE/3.0.11 Thunderbird/3.0.11
I just wondered if it is possible to use the Isar-style transitivity
reasoning with \ge, i.e.
note `a\ge b` also note `... \ge c` finally have "a\ge c"
Currently, this does not work for two reasons:
First, \ge is syntactically translated to \le, before " ... " is
matched, and, second, there is no "swapped"
transitivity rule set up as [trans]. The second can be fixed by
adding such a rule:
lemma [trans]: "a\<ge>b \<Longrightarrow> b\<ge>c
\<Longrightarrow> a\<ge>(c::'a::order)" by (rule order_trans_rules)
Should this be included into the standard setup of the transitivity
any ideas wether it is possible to extend the behaviour of "..." to
also work with \ge?
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