Theorems · Theorem · commutative algebra
CharP.ringChar_of_prime_eq_zero
∀ {R : Type u_1} [inst : NonAssocSemiring R] [Nontrivial R] {p : ℕ}, Nat.Prime p → ↑p = 0 → ringChar R = p- Defined in
- Mathlib.Algebra.CharP.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiringNontrivial
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.
- Nontrivialstatement and proof · cited by 2,416
- Nat.Primestatement and proof · cited by 2,059
- NonAssocSemiringstatement and proof · cited by 805
- ringCharstatement · cited by 73
- Nat.dvd_primeproof · cited by 18
- CharP.ringChar_ne_oneproof · cited by 3
- ringChar.dvdproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CharP.charP_iff_prime_eq_zeroproof · cited by 4
- jacobiSum_mul_jacobiSum_invproof · cited by 0