Theorems · Theorem · number theory
ZMod.orderOf_one_add_four_mul
∀ (a : ℤ), Odd a → ∀ (n : ℕ), orderOf (1 + 4 * ↑a) = 2 ^ 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_rflproof · cited by 1,558
- ZModstatement · cited by 1,024
- Oddstatement and proof · cited by 364
- orderOfstatement and proof · cited by 324
- two_ne_zeroproof · cited by 251
- Nat.prime_twoproof · cited by 55
- even_iff_two_dvdproof · cited by 25
- Int.not_even_iff_oddproof · cited by 8
- ZMod.orderOf_one_add_mul_prime_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.orderOf_fiveproof · cited by 1