Theorems · Theorem · commutative algebra
PowerSeries.hasEval_iff
∀ {S : Type u_2} [inst : CommRing S] [inst_1 : TopologicalSpace S] {a : S},
PowerSeries.HasEval a ↔ MvPowerSeries.HasEval fun x => a- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- MvPowerSeries.HasEvalstatement and proof · cited by 37
- PowerSeries.HasEvalstatement and proof · cited by 28
- MvPowerSeries.HasEval.hpowproof · cited by 6
- Filter.cofinite_eq_botproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.hasEvalproof · cited by 7
- PowerSeries.HasEval.zeroproof · cited by 1
- PowerSeries.HasEval.Xproof · cited by 1
- PowerSeries.hasSubst_iff_hasEval_of_discreteTopologyproof · cited by 0