Theorems · Definition · commutative algebra
MvPowerSeries.X
{σ : Type u_1} → {R : Type u_2} → [Semiring R] → σ → MvPowerSeries σ RThe variables of the multivariate formal power series ring.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 98 results in Mathlib
- Foundations
- Depth 65 from the axioms, rests on 1,058 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsupp.singleproof · cited by 943
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.monomialproof · cited by 69
Cited by108
Results whose statement or proof uses this declaration.
- PowerSeries.Xproof · cited by 183
- MvPowerSeries.constantCoeff_Xstatement · cited by 16
- MvPowerSeries.HasSubst.X_powstatement · cited by 11
- MvPowerSeries.coeff_Xstatement · cited by 10
- MvPowerSeries.coeff_expand_smulproof · cited by 7
- MvPowerSeries.coeff_expand_of_not_dvdproof · cited by 5
- PowerSeries.HasSubst.Xstatement · cited by 5
- MvPolynomial.coe_Xstatement · cited by 4
- MvPowerSeries.commute_Xstatement · cited by 4
- MvPowerSeries.HasEval.Xstatement · cited by 4
- MvPowerSeries.HasSubst.Xstatement · cited by 4
- MvPowerSeries.HasSubst.X_Xstatement and proof · cited by 4