Zulip Chat Archive

Stream: new members

Topic: Why apply work in an unexpected situation


Chengyan Hu (Mar 25 2025 at 17:26):

I believe that if we apply a hypothesis h to our goal, it will only work in case h:P ->Q and goal|-Q, turning our goal into P. However I found out in application that if the goal is P and we apply h:P, it solves the goal. Why is that?
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Kyle Miller (Mar 25 2025 at 17:28):

In general, if h : P1 -> P2 -> ... -> Pn -> Q and the goal is Q, it creates nn goals for P1, P2, ..., Pn.

The tactic still works when n=0n=0.


Last updated: May 02 2025 at 03:31 UTC