Theorems · Theorem · commutative algebra
PowerSeries.heval_apply
∀ {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),
(PowerSeries.heval x) f = (HahnSeries.SummableFamily.powerSeriesFamily x f).hsum- Defined in
- Mathlib.RingTheory.HahnSeries.HEval
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement and proof · cited by 797
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- HahnSeries.SummableFamily.powerSeriesFamilystatement · cited by 13
- PowerSeries.hevalstatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_hevalproof · cited by 1
- PowerSeries.heval_Cproof · cited by 0
- PowerSeries.heval_Xproof · cited by 0