Theorems · Theorem · commutative algebra
PowerSeries.coeff_heval
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommRing R] (x : HahnSeries Γ R) (f : PowerSeries R) (g : Γ),
((PowerSeries.heval x) f).coeff g = ∑ᶠ (n : ℕ), ((HahnSeries.SummableFamily.powerSeriesFamily x f).coeff g) n- Defined in
- Mathlib.RingTheory.HahnSeries.HEval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement and proof · cited by 797
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- finsumstatement and proof · cited by 286
- HahnSeries.coeffstatement and proof · cited by 235
- HahnSeries.SummableFamily.powerSeriesFamilystatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_heval_zeroproof · cited by 0