Theorems · Definition · commutative algebra
MvPowerSeries.map
{σ : Type u_1} →
{R : Type u_2} →
{S : Type u_3} → [inst : Semiring R] → [inst_1 : Semiring S] → (R →+* S) → MvPowerSeries σ R →+* MvPowerSeries σ SThe map between multivariate formal power series induced by a map on the coefficients.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- RingHomstatement and proof · cited by 10,189
- Finsuppproof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.coeffproof · cited by 273
Cited by38
Results whose statement or proof uses this declaration.
- PowerSeries.mapproof · cited by 82
- MvPowerSeries.subst_zero_of_constantCoeff_zeroproof · cited by 3
- MvPowerSeries.coeff_mapstatement · cited by 3
- MvPowerSeries.map_expandstatement and proof · cited by 2
- MvPowerSeries.map_monomialstatement · cited by 2
- MvPowerSeries.map_subststatement and proof · cited by 2
- MvPowerSeries.subst_zero_eq_C_constantCoeffstatement and proof · cited by 2
- MvPowerSeries.truncFinset_mapstatement and proof · cited by 2
- MvPolynomial.coeToMvPowerSeries.algHomproof · cited by 2
- MvPowerSeries.mapAlgHomproof · cited by 1
- MvPowerSeries.mapAlgHom_applystatement · cited by 1
- MvPowerSeries.map_Cstatement · cited by 1