Theorems · Theorem · commutative algebra
MvPowerSeries.pderiv_X_self
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {i : σ}, (MvPowerSeries.pderiv R i) (MvPowerSeries.X i) = 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- Finsupp.singleproof · cited by 943
- MvPowerSeriesstatement · cited by 659
- Derivationstatement · cited by 293
- MvPowerSeries.Xstatement and proof · cited by 98
- MvPowerSeries.extproof · cited by 58
- MvPowerSeries.pderivstatement · cited by 13
- MvPowerSeries.coeff_Xproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.derivative_Xproof · cited by 0
- MvPowerSeries.pderiv_Xproof · cited by 0