Theorems · Theorem · commutative algebra
CharP.isUnit_ofNat_iff
∀ {R : Type u_1} [inst : Ring R] {p : ℕ} [CharP R p] {n : ℕ} [inst_2 : n.AtLeastTwo],
Nat.Prime p → (IsUnit (OfNat.ofNat n) ↔ ¬p ∣ OfNat.ofNat n)- Defined in
- Mathlib.Algebra.CharP.Invertible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingCharPNat.AtLeastTwo
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement · cited by 1,602
- CharPstatement and proof · cited by 478
- Nat.AtLeastTwostatement and proof · cited by 405
- CharP.isUnit_natCast_iffproof · cited by 3
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