Zulip Chat Archive

Stream: maths

Topic: hasse derivative and homomorphism


Sham S (Jun 08 2025 at 13:48):

lemma map_hasseDeriv_commutativity
    (P : K[X]) (i : ): (P.map f).hasseDeriv i = (P.hasseDeriv i).map f := by
    ext n
    simp only [hasseDeriv_apply, coeff_map]

post this I'm unable to proceed, I'm new to lean and would like some help how to go from here, is this because apply sum results in different support, that is (P. map f) and the other is P.support

Junyan Xu (Jun 10 2025 at 22:11):

You code is missing imports and K, f are not defined. It doesn't work in the playground (online editor, see screenshot) so it's unlikely people can help you. Anyway, ext; simp [hasseDeriv_coeff] works, and this is now in google-deepmind/formal-conjectures#150.

image.png


Last updated: Dec 20 2025 at 21:32 UTC