Stream: Archive Mirror: Isabelle Users Mailing List

Topic: [isabelle] case _ of


view this post on Zulip Email Gateway (Aug 18 2022 at 14:54):

From: Viorel Preoteasa <viorel.preoteasa@abo.fi>
Hello,

I have the following equivalent definitions

definition
"SetMark ij = (case ij of
(I.init, I.loop) => inf (dem Q1_0) (dem Q2_0) |
(I.loop, I.loop) => inf (dem Q3_0) (dem Q4_0) |
(I.loop, I.final) => dem Q5_0 |
_ => top)";

definition
"SetMark = top(
(I.init, I.loop) := inf (dem Q1_0) (dem Q2_0) ,
(I.loop, I.loop) := inf (dem Q3_0) (dem Q4_0) ,
(I.loop, I.final) := dem Q5_0)

I like the style of the first one, however in proofs when I expand
SetMark with
the second definition everything is expanded and I get to basic cases
which are
discharged automatically, while using the first definition I have to do
case_tac
on both first component and second component until I get the result proved.

Is there a way to split the case term in cases automatically, without
using case_tac?

Best regards,

Viorel Preoteasa

view this post on Zulip Email Gateway (Aug 18 2022 at 14:54):

From: Tobias Nipkow <nipkow@in.tum.de>
You can instruct simp/auto/fastsimp/force to split all case expressions
of some type t by adding the option "split: t.split". See the 3.1.9 in
the Tutorial.

Tobias

Viorel Preoteasa schrieb:


Last updated: Nov 21 2024 at 12:39 UTC