theorem extracted_formal_statement_6 {m : ℕ+} (x y : EuclideanSpace ℝ (Fin ↑m)) (h_original_goal : inner x y = x ⬝ᵥ y) :
  ∑ x_1, y x_1 * x x_1 = x ⬝ᵥ y := sorry

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

Tactic: simp

State after:
[m : ℕ+
 x y : EuclideanSpace ℝ (Fin ↑m)
 ⊢ ∑ x_1, y x_1 * x x_1 = x ⬝ᵥ y]

Relevant lemmas: