Theorems · Theorem · commutative algebra
PowerSeries.toMvPowerSeries_apply
∀ {R : Type u_1} {σ : Type u_2} [inst : CommSemiring R] {f : PowerSeries R} (i : σ),
(PowerSeries.toMvPowerSeries i) f = (MvPowerSeries.rename fun x => i) f- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 4 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement and proof · cited by 797
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.renamestatement · cited by 26
- PowerSeries.toMvPowerSeriesstatement · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.toMvPowerSeries_coeff_eq_zeroproof · cited by 1
- PowerSeries.toMvPowerSeries_eq_substproof · cited by 1
- PowerSeries.toMvPowerSeries_Cproof · cited by 0
- PowerSeries.toMvPowerSeries_Xproof · cited by 0