Theorems · Theorem · commutative algebra
PowerSeries.X_prime
∀ {R : Type u_1} [inst : CommRing R] [IsDomain R], Prime PowerSeries.XThe variable of the power series ring over an integral domain is prime.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- LinearMapproof · cited by 10,215
- IsDomainstatement and proof · cited by 2,196
- map_zeroproof · cited by 1,614
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.coeffproof · cited by 324
- Primestatement · cited by 277
- PowerSeries.Xstatement and proof · cited by 183
- ZeroHomClassproof · cited by 74
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.X_irreducibleproof · cited by 2
- PowerSeries.intValuation_eq_of_coeproof · cited by 2
- PowerSeries.maximalIdeal_eq_span_Xproof · cited by 1