Theorems · Theorem · commutative algebra
Ideal.natCast_mem_of_charP_quotient
∀ {R : Type u_1} [inst : CommRing R] (p : ℕ) (I : Ideal R) [CharP (R ⧸ I) p], ↑p ∈ I- Defined in
- Mathlib.Algebra.CharP.Quotient
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Ideal.Quotient.mkproof · cited by 610
- CharPstatement and proof · cited by 478
- CharP.cast_eq_zeroproof · cited by 357
- map_natCastproof · cited by 134
- Ideal.Quotient.eq_zero_iff_memproof · cited by 74
Cited by2
Results whose statement or proof uses this declaration.
- Perfection.teichmullerFun_sModEqproof · cited by 3
- Perfection.teichmullerAux_sModEqproof · cited by 0