Theorems · Theorem · commutative algebra
MvPowerSeries.LinearTopology.isTopologicallyNilpotent_of_constantCoeff
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] [inst_1 : TopologicalSpace R] [IsLinearTopology R R]
{f : MvPowerSeries σ R}, IsTopologicallyNilpotent (MvPowerSeries.constantCoeff f) → IsTopologicallyNilpotent f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Filterproof · cited by 8,121
- Ringproof · cited by 7,463
- nhdsproof · cited by 5,554
- Finsuppproof · cited by 5,255
- Idealproof · cited by 4,748
- Filter.Eventuallyproof · cited by 3,134
- Filter.atTopproof · cited by 2,405
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.LinearTopology.isTopologicallyNilpotent_iff_constantCoeffproof · cited by 0