lean_workbook_plus_54693

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

Evaluate the following sum \n

\\frac{1}{\\log_2{\\frac{1}{7}}}+\\frac{1}{\\log_3{\\frac{1}{7}}}+\\frac{1}{\\log_4{\\frac{1}{7}}}+\\frac{1}{\\log_5{\\frac{1}{7}}}+\\frac{1}{\\log_6{\\frac{1}{7}}}-\\frac{1}{\\log_7{\\frac{1}{7}}}-\\frac{1}{\\log_8{\\frac{1}{7}}}-\\frac{1}{\\log_9{\\frac{1}{7}}}-\\frac{1}{\\log_{10}{\\frac{1}{7}}}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_54693 :
  (1 / Real.logb 2 (1 / 7)) + (1 / Real.logb 3 (1 / 7)) + (1 / Real.logb 4 (1 / 7)) + (1 / Real.logb 5 (1 / 7)) + (1 / Real.logb 6 (1 / 7)) - (1 / Real.logb 7 (1 / 7)) - (1 / Real.logb 8 (1 / 7)) - (1 / Real.logb 9 (1 / 7)) - (1 / Real.logb 10 (1 / 7)) = 1   :=  by sorry

Source

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

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