Prove2Me

An exact binomial quotient

Proved
WorkbookSource.problem_41108

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

lean-workbooksource-checked

The following rational quotient has exact value

56⋅7+35⋅8(154)=3265.\frac{56\cdot7+35\cdot8}{\binom{15}{4}}=\frac{32}{65}.

Source: InternLM Lean-Workbook, record lean_workbook_41108 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_41108 :
  ((56 * 7 + 35 * 8) : ℚ) / (choose 15 4 : ℚ) = 32 / 65  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_41108; Apache-2.0

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