Theorems · Theorem · commutative algebra
PowerSeries.IsWeierstrassDivisorAt.div_zero
∀ {A : Type u_1} [inst : CommRing A] {g : PowerSeries A} {I : Ideal A} (H : g.IsWeierstrassDivisorAt I)
[inst_1 : IsAdicComplete I A], H.div 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsAdicComplete
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Idealstatement and proof · cited by 4,748
- PowerSeriesstatement and proof · cited by 797
- zero_smulproof · cited by 716
- smul_zeroproof · cited by 665
- IsAdicCompletestatement and proof · cited by 124
- PowerSeries.IsWeierstrassDivisorAtstatement and proof · cited by 28
- PowerSeries.IsWeierstrassDivisorAt.divstatement and proof · cited by 18
- PowerSeries.IsWeierstrassDivisorAt.div_smulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.weierstrassDiv_zero_leftproof · cited by 1