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Theorems · Definition · commutative algebra

PowerSeries.derivative

(R : Type u_1) → [inst : CommSemiring R] → Derivation R (PowerSeries R) (PowerSeries R)

The formal derivative of a formal power series

Defined in
Mathlib.RingTheory.PowerSeries.Derivative
Cited by
26 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

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

PowerSeries.coeff_derivative · cited by 8PowerSeries.coeff_derivat…PowerSeries.derivativeFun · cited by 4PowerSeries.derivativeFunPowerSeries.trunc_derivative · cited by 2PowerSeries.trunc_derivat…PowerSeries.coeff_iterate_derivative · cited by 1PowerSeries.coeff_iterate…PowerSeries.derivative_C · cited by 1PowerSeries.derivative_CPowerSeries.derivative_coe · cited by 1PowerSeries.derivative_coePowerSeries.derivative_exp · cited by 1PowerSeries.derivative_expPowerSeries.derivative_one · cited by 0PowerSeries.derivative_onePowerSeries.coeff_derivativeFun · cited by 0PowerSeries.coeff_derivat…PowerSeries.derivative_pow · cited by 0PowerSeries.derivative_powPowerSeries.derivative_subst · cited by 0PowerSeries.derivative_su…PowerSeries.trunc_derivative' · cited by 0PowerSeries.trunc_derivat…PowerSeries.trunc_derivativeFun · cited by 0PowerSeries.trunc_derivat…PowerSeries.derivative.ext · cited by 0derivative.extPowerSeries.constantCoeff_iterate_derivative · cited by 0PowerSeries.constantCoeff…CommSemiring · cited by 10911CommSemiringPowerSeries · cited by 797PowerSeriesDerivation · cited by 293DerivationMvPowerSeries.pderiv · cited by 13MvPowerSeries.pderivPowerSeries.derivativeCITED BYCITES

Cites4

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Cited by27

Results whose statement or proof uses this declaration.