Theorems · Theorem · commutative algebra
PowerSeries.coeff_coe
∀ {R : Type u_1} [inst : Semiring R] (f : PowerSeries R) (i : ℤ),
((HahnSeries.ofPowerSeries ℤ R) f).coeff i = if i < 0 then 0 else (PowerSeries.coeff i.natAbs) f- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- RingEquiv.symmproof · cited by 567
- Set.image_congrproof · cited by 533
- HahnSeriesstatement and proof · cited by 528
- PowerSeries.coeffstatement and proof · cited by 324
- HahnSeries.coeffstatement and proof · cited by 235
- LE.le.not_gtproof · cited by 189
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.coe_smulproof · cited by 0