lean_workbook_plus_81331

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

We have $1-f(x)=\dfrac{9e^x+2}{12e^x+3}\iff f(x)=1-\dfrac{9e^x+2}{12e^x+3}=\dfrac{3e^x+1}{12e^x+3}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_81331 (f : ℝ → ℝ) (x : ℝ) : 1 - f x = (9 * exp x + 2) / (12 * exp x + 3) ↔ f x = (3 * exp x + 1) / (12 * exp x + 3)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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