Theorems · Theorem · commutative algebra
PowerSeries.coeff_def
∀ {R : Type u_1} [inst : Semiring R] {s : Unit →₀ ℕ} {n : ℕ}, s () = n → PowerSeries.coeff n = MvPowerSeries.coeff s- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 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.
Cites10
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 and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement and proof · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finsupp.singleproof · cited by 943
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.coeffstatement · cited by 324
- MvPowerSeries.coeffstatement and proof · cited by 273
- Finsupp.unique_singleproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.extproof · cited by 69
- PowerSeries.order_eq_orderproof · cited by 4