Theorems · Definition · commutative algebra

MvPowerSeries.hasEvalIdeal

{σ : Type u_1} →
  {S : Type u_3} →
    [inst : CommRing S] → [inst_1 : TopologicalSpace S] → [IsTopologicalRing S] → [IsLinearTopology S S] → Ideal (σ → S)

The domain of evaluation of MvPowerSeries, as an ideal

Defined in: Mathlib.RingTheory.MvPowerSeries.Evaluation
Cited by: 3 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing TopologicalSpace IsTopologicalRing IsLinearTopology

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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.

TopologicalSpacestatement and proof · cited by 24,529
CommRingstatement and proof · cited by 17,173
Set.ofPredproof · cited by 6,101
Idealstatement · cited by 4,748
IsTopologicalRingstatement and proof · cited by 402
IsLinearTopologystatement and proof · cited by 83
MvPowerSeries.HasEvalproof · cited by 37
MvPowerSeries.HasEval.mul_leftproof · cited by 4
MvPowerSeries.HasEval.zeroproof · cited by 3

Cited by3

Results whose statement or proof uses this declaration.

MvPowerSeries.mem_hasEvalIdeal_iffstatement · cited by 1
MvPowerSeries.HasEval.powproof · cited by 0
MvPowerSeries.coe_hasEvalIdealstatement and proof · cited by 0