Theorems · Theorem · commutative algebra
NeZero.of_not_dvd
∀ (R : Type u_1) [inst : AddMonoidWithOne R] {n p : ℕ} [CharP R p], ¬p ∣ n → NeZero ↑n- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddMonoidWithOneCharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Iff.notproof · cited by 489
- CharPstatement and proof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
- CharP.cast_eq_zero_iffproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- Nat.exists_prime_gt_modEq_oneproof · cited by 1
- IsPrimitiveRoot.neZero'proof · cited by 1