Theorems · Definition · commutative algebra
HahnSeries.coeff
{Γ : Type u_1} → {R : Type u_2} → [inst : PartialOrder Γ] → [inst_1 : Zero R] → HahnSeries Γ R → Γ → RThe coefficient function of a Hahn Series.
- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 235 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
Cited by257
Results whose statement or proof uses this declaration.
- HahnSeries.supportproof · cited by 84
- HahnSeries.extstatement and proof · cited by 53
- HahnSeries.leadingCoeffproof · cited by 49
- HahnSeries.SummableFamily.hsumproof · cited by 39
- HahnSeries.support_nonempty_iffproof · cited by 28
- HahnSeries.embDomainproof · cited by 21
- HahnSeries.coeff_onestatement · cited by 14
- HahnSeries.coeff_single_samestatement · cited by 14
- HahnSeries.mapproof · cited by 13
- HVertexOperator.coeffproof · cited by 12
- HahnSeries.leadingCoeff_zeroproof · cited by 12
- HahnSeries.SummableFamily.coeffproof · cited by 11
Showing the 200 most cited of 257.