How to switch the current goal in Coq?

2020-08-10 08:08发布

问题:

Is it possible to switch the current goal or subgoal to prove in Coq?

For example, I have a goal like this (from an eexists):

______________________________________(1/1)
?s > 0 /\ r1 * (r1 + s1) + ?s = r3 * (r3 + s2)

What I want to do is to split and prove the right conjunct first. This I think will give the value of the existential variable ?s, and the left conjunct should be just a simplification away.

But split by default set the left conjunct ?s > 0 as the current goal.

______________________________________(1/2)
?s > 0
______________________________________(2/2)
r1 * (r1 + s1) + ?s = r3 * (r3 + s2)

I know I can prefix tactics with 2: to operate on the second subgoal, but it's awkward because

1) I can't see the hypotheses for goal#2 and

2) if it's in a different context, goal#2 might be the third or the k_th goal. The proof won't be portable.

That's why I want to set the second goal as the current.

BTW, I am using CoqIDE (8.5).

回答1:

You can use Focus 2 to focus on the second goal.