Theorems · Theorem · commutative algebra
MvPowerSeries.HasEval.add
∀ {σ : Type u_1} {S : Type u_3} [inst : CommRing S] [inst_1 : TopologicalSpace S] [ContinuousAdd S]
[IsLinearTopology S S] {a b : σ → S},
MvPowerSeries.HasEval a → MvPowerSeries.HasEval b → MvPowerSeries.HasEval (a + b)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- add_zeroproof · cited by 2,707
- ContinuousAddstatement and proof · cited by 777
- Filter.cofiniteproof · cited by 251
- Filter.Tendsto.addproof · cited by 102
- IsLinearTopologystatement and proof · cited by 83
- MvPowerSeries.HasEvalstatement and proof · cited by 37
- MvPowerSeries.HasEval.hpowproof · cited by 6
- MvPowerSeries.HasEval.tendsto_zeroproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.HasSubst.addproof · cited by 0
- PowerSeries.HasEval.addproof · cited by 0