Prove2Me

Simplifying a rational numerator

Proved
WorkbookSource.problem_102

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Plugging that into the the top gives 3−(4p+3)8p2−8p−3=−4p8p2−8p−3.\frac{3 - (4p+3)}{8p^2-8p-3} = \frac{-4p}{8p^2-8p-3}.

Source: InternLM Lean-Workbook, record lean_workbook_102 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_102  (p : ℝ)
  (h₀ : 8 * p^2 - 8 * p - 3 ≠ 0)
  (h₁ : 3 - (4 * p + 3) ≠ 0) :
  (3 - (4 * p + 3)) / (8 * p^2 - 8 * p - 3) = (-4 * p) / (8 * p^2 - 8 * p - 3)  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_102; Apache-2.0

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