Theorems · Theorem · number theory
ZMod.orderOf_one_add_prime
∀ {p : ℕ}, Nat.Prime p → p ≠ 2 → ∀ (n : ℕ), orderOf (1 + ↑p) = p ^ n- Defined in
- Mathlib.RingTheory.ZMod.UnitsCyclic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidproof · cited by 3,887
- mul_oneproof · cited by 3,885
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement and proof · cited by 1,024
- Int.cast_oneproof · cited by 371
- orderOfstatement and proof · cited by 324
- Nat.Prime.ne_oneproof · cited by 61
- ZMod.orderOf_one_add_mul_primeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_of_prime_powproof · cited by 2