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Theorems · Theorem · commutative algebra

MvPowerSeries.pderiv_invOf

∀ {σ : Type u_1} {R : Type u_2} {i : σ} [inst : CommRing R] (f : MvPowerSeries σ R) [inst_1 : Invertible f],
  (MvPowerSeries.pderiv R i) ⅟f = -⅟f ^ 2 * (MvPowerSeries.pderiv R i) f
Defined in
Mathlib.RingTheory.MvPowerSeries.Derivative
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingInvertible
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PowerSeries.derivative_invOf · cited by 0PowerSeries.derivative_in…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingMvPowerSeries · cited by 659MvPowerSeriesInvertible · cited by 549InvertibleDerivation · cited by 293DerivationInvertible.invOf · cited by 268Invertible.invOfMvPowerSeries.pderiv · cited by 13MvPowerSeries.pderivDerivation.leibniz_invOf · cited by 1Derivation.leibniz_invOfMvPowerSeries.pderiv_invOfCITED BYCITES

Cites8

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