lean_workbook_plus_65777

Proved

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

Find the least positive integer $x$ such that $x \equiv 5\pmod7$ , $x\equiv7(mod11)$ , $x\equiv 3(mod13)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_65777 (x : ℕ) (hx: x ≡ 5 [ZMOD 7] ∧ x ≡ 7 [ZMOD 11] ∧ x ≡ 3 [ZMOD 13]) : x >= 197   :=  by sorry

Source