Zulip Chat Archive

Stream: mathlib4

Topic: NeZero on Rings


Steven Rossi (May 26 2024 at 05:36):

Is there a NeZero condition on the one of rings? Just noticing that simp isn’t getting \not 0=1

Ruben Van de Velde (May 26 2024 at 05:43):

Does apply zero_ne_one work?

Antoine Chambert-Loir (May 26 2024 at 15:09):

To provide context, docs#zero_ne_one requires Zero R, One R, and NeZero 1, and the latter is provided by docs#ZeroNe.one which holds if R is a nontrivial MonoidWithZero.

Eric Wieser (May 26 2024 at 17:20):

Perhaps worth remembering that Ring Unit exists, and there 0 = 1!

Antoine Chambert-Loir (May 27 2024 at 03:04):

Of course. (Sweats) But yes, I had mentioned nontrivial.

Eric Wieser (May 27 2024 at 07:13):

Sorry, my remark was directed at Steven, your comment was indeed correct :)


Last updated: May 02 2025 at 03:31 UTC