Zulip Chat Archive
Stream: new members
Topic: Idiomatic rw of equality
Marc Masdeu (Oct 01 2020 at 17:44):
A pattern that I keep encountering is:
by_cases h : A = B,
rw h at *
...
Is there an idiom that does this at once? Thanks, and sorry all for the many questions...
Mario Carneiro (Oct 01 2020 at 17:47):
It's not much shorter, but I would suggest subst h
instead if possible
Johan Commelin (Oct 01 2020 at 17:51):
obtain (rfl|h) : A = B ∨ A ≠ B := by tauto,
Johan Commelin (Oct 01 2020 at 17:51):
Not saying that is nice solution
Mario Carneiro (Oct 01 2020 at 17:54):
You can get that down to obtain rfl|h := em (A=B)
Marc Masdeu (Oct 01 2020 at 18:46):
Thanks, from all your answers I guess the short answer to my question is NO, and the longer one is what @Mario Carneiro first replied...
Kevin Buzzard (Oct 01 2020 at 18:50):
The subst
doesn't do the cases though, it's just a better way of doing the rewrite. The obtain trick does everything.
Yakov Pechersky (Oct 01 2020 at 19:03):
rcases eq_or_lt_of_le (nat.zero_le x) with rfl|H is something I do sometimes.
Yakov Pechersky (Oct 01 2020 at 19:03):
But of course with more complicated les
Last updated: Dec 20 2023 at 11:08 UTC