Theorems · Theorem · number theory
ZMod.addOrderOf_coe
∀ (a : ℕ) {n : ℕ}, n ≠ 0 → addOrderOf ↑a = n / n.gcd aThis lemma works in the case in which ZMod n is not infinite, i.e. n ≠ 0. The version
where a ≠ 0 is addOrderOf_coe'.
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 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.cast_zeroproof · cited by 1,870
- ZModstatement and proof · cited by 1,024
- addOrderOfstatement and proof · cited by 208
- Nat.smul_one_eq_castproof · cited by 13
- addOrderOf_zeroproof · cited by 8
- addOrderOf_nsmul'proof · cited by 5
- ZMod.addOrderOf_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.minOrderproof · cited by 1