Theorems · Theorem · commutative algebra
PowerSeries.IsWeierstrassFactorizationAt.smul
∀ {A : Type u_1} [inst : CommRing A] {g : PowerSeries A} {f : Polynomial A} {h : PowerSeries A} {I : Ideal A},
g.IsWeierstrassFactorizationAt f h I → ∀ {a : A}, IsUnit a → (a • g).IsWeierstrassFactorizationAt f (a • h) I- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 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.
Cites15
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
- Algebra.algebraMapproof · cited by 4,706
- IsUnitstatement and proof · cited by 1,602
- PowerSeriesstatement and proof · cited by 797
- Algebra.smul_defproof · cited by 287
- IsUnit.mapproof · cited by 104
- Polynomial.toPowerSeriesproof · cited by 96
- IsUnit.mulproof · cited by 32
- Algebra.mul_smul_commproof · cited by 24
- PowerSeries.IsWeierstrassFactorizationAtstatement and proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.weierstrassUnit_smulproof · cited by 0
- PowerSeries.weierstrassDistinguished_smulproof · cited by 0