theorem extracted_formal_statement_1 {m : ℕ+} (x y : EuclideanSpace ℝ (Fin ↑m)) : inner x y = x ⬝ᵥ y := sorry

State before:
m : ℕ+
x y : EuclideanSpace ℝ (Fin ↑m)
⊢ inner x y = x ⬝ᵥ y

Tactic: simp
    rw [dotProduct]
    simp [mul_comm]

State after:

Relevant lemmas:
mul_comm : ∀ {G : Type u_1} [inst : CommMagma G] (a b : G), a * b = b * a