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Theorems · Theorem · commutative algebra

PowerSeries.HasEval.mul_left

∀ {S : Type u_2} [inst : CommRing S] [inst_1 : TopologicalSpace S] [IsLinearTopology S S] (c : S) {x : S},
  PowerSeries.HasEval x → PowerSeries.HasEval (c * x)
Defined in
Mathlib.RingTheory.PowerSeries.Evaluation
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingTopologicalSpaceIsLinearTopology
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PowerSeries.hasEvalIdeal · cited by 2PowerSeries.hasEvalIdealPowerSeries.mem_hasEvalIdeal_iff · cited by 0PowerSeries.mem_hasEvalId…TopologicalSpace · cited by 24529TopologicalSpaceCommRing · cited by 17173CommRingIsLinearTopology · cited by 83IsLinearTopologyPowerSeries.HasEval · cited by 28PowerSeries.HasEvalMvPowerSeries.HasEval.mul_left · cited by 4HasEval.mul_leftHasEval.mul_leftCITED BYCITES

Cites5

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Cited by2

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