Theorems · Theorem · commutative algebra
Int.ringChar_idealQuot
∀ (n : ℕ), ringChar (ℤ ⧸ Ideal.span {↑n}) = n- Defined in
- Mathlib.RingTheory.Ideal.Int
- Cited by
- 1 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Idealstatement · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Ideal.spanstatement and proof · cited by 948
- Int.cast_natCastproof · cited by 393
- Ideal.Quotient.eq_zero_iff_memproof · cited by 74
- ringCharstatement · cited by 73
- Ideal.mem_span_singletonproof · cited by 69
- ringChar.eq_iffproof · cited by 6
- charP_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.mem_zpowers_galEquivZMod_of_mem_stabilizerproof · cited by 1