Theorems · Theorem · commutative algebra
PowerSeries.weierstrassMod_zero_left
∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (g : PowerSeries A)
[inst_2 : IsAdicComplete (IsLocalRing.maximalIdeal A) A], 0 %ʷ g = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement and proof · cited by 797
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.maximalIdealstatement and proof · cited by 297
- IsAdicCompletestatement and proof · cited by 124
- PowerSeries.mapproof · cited by 82
- IsLocalRing.residueproof · cited by 71
- PowerSeries.weierstrassModstatement · cited by 11
- PowerSeries.IsWeierstrassDivisor.of_map_ne_zeroproof · cited by 11
- PowerSeries.IsWeierstrassDivisorAt.mod_zeroproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.zero_weierstrassModproof · cited by 0