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Theorems · Theorem · commutative algebra

PowerSeries.HasSubst.mul_right

∀ {R : Type u_2} [inst : CommRing R] {τ : Type u_3} {f g : MvPowerSeries τ R},
  PowerSeries.HasSubst f → PowerSeries.HasSubst (g * f)
Defined in
Mathlib.RingTheory.PowerSeries.Substitution
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

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

PowerSeries.HasSubst.smul · cited by 0HasSubst.smulDFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingmap_mul · cited by 1137map_mulMvPowerSeries · cited by 659MvPowerSeriesIsNilpotent · cited by 248IsNilpotentCommute.all · cited by 119Commute.allMvPowerSeries.constantCoeff · cited by 98MvPowerSeries.constantCoe…PowerSeries.HasSubst · cited by 67PowerSeries.HasSubstCommute.isNilpotent_mul_left · cited by 7Commute.isNilpotent_mul_l…HasSubst.mul_rightCITED BYCITES

Cites9

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Cited by1

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