proposition: Lemma rotate_antisym (p q : Plane) : scalar_product (rotate p) q = - scalar_product p (rotate q).
proof: Proof. by rewrite /scalar_product/rotate/=; ring. Qed.
imports: axiomsKnuth mathcomp(all_ssreflect ssralg matrix ssrnum vector reals) mathcomp(normedtype order) mathcomp.algebra_tactics(ring) mathcomp.zify(zify)