Theorems · Theorem · number theory
ZMod.orderOf_one_add_mul_prime
∀ {p : ℕ}, Nat.Prime p → p ≠ 2 → ∀ (a : ℤ), ¬↑p ∣ a → ∀ (n : ℕ), orderOf (1 + ↑p * ↑a) = p ^ n- Defined in
- Mathlib.RingTheory.ZMod.UnitsCyclic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement and proof · cited by 1,024
- pow_oneproof · cited by 894
- one_ne_zeroproof · cited by 885
- orderOfstatement and proof · cited by 324
- Nat.Prime.two_leproof · cited by 53
- ZMod.orderOf_one_add_mul_prime_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.orderOf_one_add_primeproof · cited by 1