lean_workbook_plus_21991
ProvedProve that if and , then .
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_21991 : ∀ p > 3, ∀ a : ℕ, a^4 ≡ 1 [ZMOD p] → (a^2 + 1) * (a^2 - 1) ≡ 0 [ZMOD p] := by sorry
Source
Prove that if and , then .
import Mathlib.Analysis.Complex.Basic
theorem lean_workbook_plus_21991 : ∀ p > 3, ∀ a : ℕ, a^4 ≡ 1 [ZMOD p] → (a^2 + 1) * (a^2 - 1) ≡ 0 [ZMOD p] := by sorry