Theorems · Theorem · commutative algebra
IsFractionRing.charZero_of_isFractionRing
∀ (R : Type u_3) {K : Type u_4} [inst : CommRing R] [inst_1 : Field K] [inst_2 : Algebra R K] [IsFractionRing R K]
[CharZero R], CharZero KIf R has characteristic 0, then so does Frac(R).
- Defined in
- Mathlib.Algebra.CharP.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
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Cites6
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
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- CharZerostatement and proof · cited by 932
- IsFractionRingstatement and proof · cited by 738
- CharP.charP_to_charZeroproof · cited by 11
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