Theorems · Theorem · commutative algebra
CharP.quotient
∀ (R : Type u_1) [inst : CommRing R] (p : ℕ) [hp1 : Fact (Nat.Prime p)], ↑p ∈ nonunits R → CharP (R ⧸ Ideal.span {↑p}) p- Defined in
- Mathlib.Algebra.CharP.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Idealstatement · cited by 4,748
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- Ideal.spanstatement and proof · cited by 948
- Ideal.Quotient.mkproof · cited by 610
- CharPstatement · cited by 478
- Fact.outproof · cited by 328
- Set.mem_singletonproof · cited by 183
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