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Theorems · Theorem · commutative algebra

PowerSeries.heval_mul

∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
  [inst_3 : CommRing R] (x : HahnSeries Γ R) {a b : PowerSeries R},
  (PowerSeries.heval x) (a * b) = (PowerSeries.heval x) a * (PowerSeries.heval x) b
Defined in
Mathlib.RingTheory.HahnSeries.HEval
Cited by
1 results in Mathlib
Foundations
Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidLinearOrderIsOrderedCancelAddMonoidCommRing
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Around this declaration

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

PowerSeries.heval_unit · cited by 0PowerSeries.heval_unitDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingAddCommMonoid · cited by 12281AddCommMonoidLinearOrder · cited by 8572LinearOrderAlgHom · cited by 3236AlgHommap_mul · cited by 1137map_mulPowerSeries · cited by 797PowerSeriesHahnSeries · cited by 528HahnSeriesIsOrderedCancelAddMonoid · cited by 359IsOrderedCancelAddMonoidPowerSeries.heval · cited by 7PowerSeries.hevalPowerSeries.heval_mulCITED BYCITES

Cites10

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Cited by1

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