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?
image.png
Kyle Miller (Mar 25 2025 at 17:28):
In general, if h : P1 -> P2 -> ... -> Pn -> Q
and the goal is Q
, it creates goals for P1
, P2
, ..., Pn
.
The tactic still works when .
Last updated: May 02 2025 at 03:31 UTC