lean_workbook_plus_74458

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Note that $b \in \{1,2,3 \}$ . And $\frac 3 x \geq b$ so that $x \leq \frac 3 b.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_74458 (x : ℝ) (b : ℕ) (hb : b ∈ Finset.Icc 1 3) : 3 / x ≥ b → x ≤ 3 / b   :=  by sorry

Source