Lean-Workbook Plus 80591: Logarithmic inequality

Proved

WorkbookRestored.plus_80591

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

For real $x>0$ , if $\log x=\log6$ , then $x=6$ .

Source: Lean-Workbook row lean_workbook_plus_80591 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble

import Mathlib.Analysis.SpecialFunctions.Log.Basic
open Real

Formal statement

theorem WorkbookRestored.plus_80591  (x : ℝ)
  (h₀ : 0 < x)
  (h₁ : Real.log x = Real.log 6) :
  x = 6   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_80591; immutable original Prove2Me node 6a560d2f-a23d-4d8f-b794-d266aace1622

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