lean_workbook_plus_36963

Proved

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

If $a\equiv b \pmod{c}$ , show that $a^{x}\equiv b^{x}\pmod{c}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_36963 (a b c x : ℕ) (hab : a ≡ b [ZMOD c]) : a ^ x ≡ b ^ x [ZMOD c]   :=  by sorry

Source