theorem extracted_formal_statement_214 (a : NNReal) (ha : ↑a > 0) (b : NNReal) (hb : ↑b < ⊤) (hm : 1 ≤ ↑a * ↑b)
  (h_original_goal : ↑a * (↑b).toReal ≥ 1) : 1 ≤ ↑a * ↑b := sorry

State before:
case intro.intro
a : NNReal
ha : ↑a > 0
b : NNReal
hb : ↑b < ⊤
hm : 1 ≤ ↑a * ↑b
⊢ ↑a * (↑b).toReal ≥ 1

Tactic: simp

State after:
[case intro.intro
 a : NNReal
 ha : ↑a > 0
 b : NNReal
 hb : ↑b < ⊤
 hm : 1 ≤ ↑a * ↑b
 ⊢ 1 ≤ ↑a * ↑b]

Relevant lemmas: