proposition: Fact dlin (V' W' : normedModType R) (f : {linear V' -> W'}) x : continuous f -> f \o shift x = cst (f x) + f +o_ (0 : V') id.
proof: Proof. move=> df; apply: eqaddoE; rewrite funeqE => y /=. rewrite linearD addrC -[LHS]addr0; congr (_ + _). by rewrite littleoE; last exact: littleo0_subproof. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum matrix interval) mathcomp(mathcomp_extra boolp classical_sets functions) reals signed topology prodnormedzmodule normedtype landau forms