Theorems · Definition · commutative algebra
MvPowerSeries.finSuccEquiv
(R : Type u_2) → [inst : CommSemiring R] → (n : ℕ) → MvPowerSeries (Fin (n + 1)) R ≃ₐ[R] PowerSeries (MvPowerSeries (Fin n) R)
The algebra isomorphism between multivariable power series in Fin (n + 1) and
power series over multivariable power series in Fin n.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 104 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.
Cites8
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
- AlgEquiv.transproof · cited by 108
- finSuccEquivproof · cited by 28
- MvPowerSeries.optionEquivLeftproof · cited by 6
- MvPowerSeries.renameEquivproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- MvPowerSeries.coeff_coeff_finSuccEquivstatement · cited by 3
- MvPowerSeries.finSuccEquiv_Cstatement · cited by 1
- MvPowerSeries.finSuccEquiv_X_succstatement · cited by 0
- MvPowerSeries.finSuccEquiv_X_zerostatement · cited by 0
- MvPowerSeries.finSuccEquiv_comp_Cstatement and proof · cited by 0