lemma
proved
tactic proof
sqrt5_lt_2_4
show as:
view Lean formalization →
formal statement (Lean)
13private lemma sqrt5_lt_2_4 : Real.sqrt 5 < (2.4 : ℝ) := by
proof body
Tactic-mode proof.
14 have h : (5 : ℝ) < 2.4^2 := by norm_num
15 have h5_pos : (0 : ℝ) ≤ 5 := by norm_num
16 have h2_4_pos : (0 : ℝ) ≤ 2.4 := by norm_num
17 rw [← Real.sqrt_sq h2_4_pos]
18 exact Real.sqrt_lt_sqrt h5_pos h
19