theorem extracted_formal_statement_82 (x : ℝ) (xpos : 0 < x) (h_original_goal : 1 * |x| = x) : 0 ≤ x := sorry

State before:
case pos
x : ℝ
xpos : 0 < x
⊢ 1 * |x| = x

Tactic: simp

State after:
[case pos
 x : ℝ
 xpos : 0 < x
 ⊢ 0 ≤ x]

Relevant lemmas: