lean_workbook_plus_37530
Proved\sqrt{(a^2+b^2+ab)(a^2+c^2+ac)}\geq a^2+\frac{a(b+c)}{2}+bc where
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_37530 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : Real.sqrt ((a^2 + b^2 + a * b) * (a^2 + c^2 + a * c)) ≥ a^2 + (a * (b + c)) / 2 + b * c := by sorry
Source