proposition: Lemma rotateZ (p : Plane) (t : R) : rotate (t *: p) = t *: rotate p.
proof: Proof. rewrite /rotate; apply pair_equal_spec; split=>//=. by rewrite scalerN. Qed.
imports: axiomsKnuth mathcomp(all_ssreflect ssralg matrix ssrnum vector reals) mathcomp(normedtype order) mathcomp.algebra_tactics(ring) mathcomp.zify(zify)