Prove2Me

A reciprocal sum below one

Proved
WorkbookSyntax.plus_44151

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

lean-workbookrepaired-notationsource-checked

∑k=99719951/k<1\sum_{k=997}^{1995}1/k<1.

Notation repair: Replaced the obsolete finite-sum binder “in” with the current “∈” notation. The ranges, summands, hypotheses and conclusion are unchanged.

Source: Lean-Workbook record lean_workbook_plus_44151 (Apache-2.0). Original declaration.

Preamble
import Mathlib
open Nat
Formal statement
theorem WorkbookSyntax.plus_44151 : ∑ k ∈ Finset.Icc (997 : ℕ) 1995, (1 : ℝ) / k < 1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_plus_44151; finite-sum notation repair; Apache-2.0

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