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Theorems · Theorem · commutative algebra

ringChar.eq_iff

∀ {R : Type u_1} [inst : NonAssocSemiring R] {p : ℕ}, ringChar R = p ↔ CharP R p
Defined in
Mathlib.Algebra.CharP.Defs
Cited by
6 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZMod.ringChar_zmod_n · cited by 9ZMod.ringChar_zmod_nAlgebra.ringChar_eq · cited by 3Algebra.ringChar_eqIsPrimitiveRoot.neg_one · cited by 3IsPrimitiveRoot.neg_oneInt.ringChar_idealQuot · cited by 1Int.ringChar_idealQuotCharP.ringChar_zero_iff_CharZero · cited by 0CharP.ringChar_zero_iff_C…Ideal.ringChar_quot · cited by 0Ideal.ringChar_quotNonAssocSemiring · cited by 805NonAssocSemiringCharP · cited by 478CharPringChar · cited by 73ringCharringChar.eq · cited by 6ringChar.eqringChar.of_eq · cited by 6ringChar.of_eqringChar.eq_iffCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.