theorem extracted_formal_statement_123 (n : ℕ+) : 1 + 2 * ↑↑n + ↑↑n ^ 2 = 1 ^ 2 + 2 * 1 * ↑↑n + ↑↑n ^ 2 := sorry

State before:
E : Type u_1
inst✝² : NormedAddCommGroup E
inst✝¹ : InnerProductSpace ℝ E
inst✝ : CompleteSpace E
f✝ h✝ : E → ℝ
f'✝ : E → E
x0✝ : E
f h : E → ℝ
f' : E → E
x0 : E
p : Nesterov_second_fix_stepsize f h f' x0
n : ℕ+
⊢ 1 + 2 * ↑↑n + ↑↑n ^ 2 = 1 ^ 2 + 2 * 1 * ↑↑n + ↑↑n ^ 2

Tactic: simp

State after:

Relevant lemmas: