Theorems · Theorem · commutative algebra
PowerSeries.IsWeierstrassFactorizationAt.eq_mul
∀ {A : Type u_1} [inst : CommRing A] {g : PowerSeries A} {f : Polynomial A} {h : PowerSeries A} {I : Ideal A},
g.IsWeierstrassFactorizationAt f h I → g = ↑f * h- Cited by
- 6 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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
- Idealstatement and proof · cited by 4,748
- PowerSeriesstatement and proof · cited by 797
- Polynomial.toPowerSeriesstatement · cited by 96
- PowerSeries.IsWeierstrassFactorizationAtstatement and proof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassFactorizationAt.map_ne_zero_of_ne_topproof · cited by 3
- PowerSeries.IsWeierstrassFactorizationAt.smulproof · cited by 2
- PowerSeries.IsWeierstrassFactorizationAt.mulproof · cited by 2
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionproof · cited by 1
- PowerSeries.eq_weierstrassDistinguished_mul_weierstrassUnitproof · cited by 0