Theorems · Definition · commutative algebra
MvPowerSeries.optionEquivLeft
(σ : Type u_1) → (R : Type u_2) → [inst : CommSemiring R] → MvPowerSeries (Option σ) R ≃ₐ[R] PowerSeries (MvPowerSeries σ R)
The algebra isomorphism between multivariable power series in Option σ and
power series with coefficients in MvPowerSeries σ R.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 101 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- AlgEquivstatement · cited by 1,681
- PowerSeriesstatement · cited by 797
- MvPowerSeriesstatement · cited by 659
Cited by7
Results whose statement or proof uses this declaration.
- MvPowerSeries.finSuccEquivproof · cited by 5
- MvPowerSeries.coeff_coeff_finSuccEquivproof · cited by 3
- MvPowerSeries.optionEquivLeft_monomialstatement · cited by 3
- MvPowerSeries.coeff_coeff_optionEquivLeftstatement · cited by 1
- MvPowerSeries.optionEquivLeft_Cstatement and proof · cited by 0
- MvPowerSeries.optionEquivLeft_X_nonestatement and proof · cited by 0
- MvPowerSeries.optionEquivLeft_X_somestatement and proof · cited by 0