Stream: Beginner Questions

Topic: Resolve higher order assumptions in apply script


view this post on Zulip Jan van Brügge (Nov 03 2023 at 11:31):

Hi, I am trying to find a way to get from a goal that looks like this:

(⋀a. P a  Q a)  (⋀a. P2 a  Q2 a)  P2 x  Y  W

to a state where the assumption and the higher order assumption have been resolved, so like this:

(⋀a. P a  Q a)  (⋀a. P2 a  Q2 a)  Q2 x  Y  W

ideally without having to know that it needs the second higher order assumption, but if that is not easily possible that's ok as well.

I know I can use subgoal premises, but I have other assumptions that I want to use with erule so that make my life a lot harder. If W = Q2 x then I could just use assumption, however that does not apply in my case

And just to make it clear, I need it as apply script, not as isar proof. This is supposed to be automated with ML later

view this post on Zulip Lukas Stevens (Nov 03 2023 at 12:05):

I suspect that there is no way around some variant of Subgoal.FOCUS


Last updated: Dec 21 2024 at 16:20 UTC