Theorems · Definition · commutative algebra
PowerSeries.IsWeierstrassFactorization
{A : Type u_1} → [inst : CommRing A] → PowerSeries A → Polynomial A → PowerSeries A → [IsLocalRing A] → PropVersion of PowerSeries.IsWeierstrassFactorizationAt for local rings with respect to
its maximal ideal.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext
- Assumes
- CommRingIsLocalRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Polynomialstatement and proof · cited by 5,681
- PowerSeriesstatement and proof · cited by 797
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.maximalIdealproof · cited by 297
- PowerSeries.IsWeierstrassFactorizationAtproof · cited by 11
Cited by13
Results whose statement or proof uses this declaration.
- PowerSeries.isWeierstrassFactorization_weierstrassDistinguished_weierstrassUnitstatement · cited by 5
- PowerSeries.IsWeierstrassFactorization.elimstatement and proof · cited by 5
- PowerSeries.exists_isWeierstrassFactorizationstatement · cited by 4
- PowerSeries.IsWeierstrassFactorization.map_ne_zerostatement and proof · cited by 3
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionstatement and proof · cited by 1
- PowerSeries.IsWeierstrassDivision.isWeierstrassFactorizationstatement and proof · cited by 1
- PowerSeries.IsWeierstrassFactorization.degree_eq_coe_lift_order_mapstatement and proof · cited by 1
- PowerSeries.IsWeierstrassFactorization.natDegree_eq_toNat_order_mapstatement and proof · cited by 0
- PowerSeries.IsWeierstrassFactorization.uniquestatement and proof · cited by 0
- PowerSeries.weierstrassDistinguished_mulproof · cited by 0
- PowerSeries.weierstrassDistinguished_smulproof · cited by 0
- PowerSeries.weierstrassUnit_mulproof · cited by 0