Theorems · Definition · commutative algebra
PowerSeries.map
{R : Type u_1} →
[inst : Semiring R] → {S : Type u_2} → [inst_1 : Semiring S] → (R →+* S) → PowerSeries R →+* PowerSeries SThe map between formal power series induced by a map on the coefficients.
- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 82 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- PowerSeriesstatement · cited by 797
- MvPowerSeries.mapproof · cited by 34
Cited by92
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassDivisorAtproof · cited by 28
- PowerSeries.IsWeierstrassDivisorAt.modproof · cited by 16
- PowerSeries.IsWeierstrassDivisor.of_map_ne_zerostatement and proof · cited by 11
- PowerSeries.weierstrassModproof · cited by 11
- PowerSeries.IsWeierstrassDivisorAt.isWeierstrassDivisionAt_div_modproof · cited by 10
- PowerSeries.weierstrassDivproof · cited by 10
- PowerSeries.IsWeierstrassDivisionAt.degree_ltstatement · cited by 8
- PowerSeries.weierstrassDistinguishedstatement and proof · cited by 8
- PowerSeries.weierstrassUnitstatement and proof · cited by 8
- PowerSeries.IsWeierstrassDivisorAt.eq_of_mul_add_eq_mul_addstatement and proof · cited by 7
- PowerSeries.isWeierstrassFactorization_weierstrassDistinguished_weierstrassUnitstatement and proof · cited by 5
- PowerSeries.IsWeierstrassDivisorAt.isUnit_shiftstatement and proof · cited by 5