Prove2Me

Real logarithm identity #17651

Proved
WorkbookCorrected.plus_17651

by carlok · Sep 30, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

Real.logb35+Real.logb36−Real.logb310=1Real.logb 3 5 + Real.logb 3 6 - Real.logb 3 10 = 1

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_17651, which omitted a compilable colon/type annotation and/or used a preamble of only Mathlib.Analysis.Complex.Basic.

Source: InternLM Lean-Workbook, record lean_workbook_plus_17651 (Apache-2.0).

Preamble
import Mathlib.Data.Real.Basic
import Mathlib.Analysis.SpecialFunctions.Log.Base
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Positivity
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_17651 : Real.logb 3 5 + Real.logb 3 6 - Real.logb 3 10 = 1 := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_17651; Apache-2.0; corrects Open node 089d680d-cc5d-4018-901b-b2c5a7862692

View graph