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