Theorems · Definition · commutative algebra
MvPowerSeries.expand
{σ : Type u_1} → {R : Type u_3} → [inst : CommRing R] → (p : ℕ) → p ≠ 0 → MvPowerSeries σ R →ₐ[R] MvPowerSeries σ RExpand the power series by a factor of p, so ∑ aₙ xⁿ becomes ∑ aₙ xⁿᵖ.
See also PowerSeries.expand.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.
- CommRingstatement and proof · cited by 17,173
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.substAlgHomproof · cited by 24
- MvPowerSeries.HasSubst.X_powproof · cited by 11
Cited by29
Results whose statement or proof uses this declaration.
- PowerSeries.expandproof · cited by 18
- MvPowerSeries.coeff_expand_smulstatement · cited by 7
- MvPowerSeries.coeff_expand_of_not_dvdstatement and proof · cited by 5
- MvPowerSeries.expand_onestatement · cited by 3
- MvPowerSeries.HasSubst.expandstatement · cited by 3
- PowerSeries.coeff_expand_mulproof · cited by 2
- MvPowerSeries.expand_eq_expandstatement and proof · cited by 2
- MvPowerSeries.expand_mul_eq_compstatement · cited by 2
- MvPowerSeries.map_expandstatement · cited by 2
- MvPowerSeries.support_expandstatement and proof · cited by 2
- MvPowerSeries.trunc'_expandstatement and proof · cited by 2
- MvPowerSeries.expand_comp_substAlgHomstatement · cited by 1