Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.finite_co_support
∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R]
(s : HahnSeries.SummableFamily Γ R α) (g : Γ), Function.HasFiniteSupport fun a => (s a).coeff g- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- PartialOrderAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- HahnSeries.coeffstatement · cited by 235
- Function.HasFiniteSupportstatement · cited by 113
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.SummableFamily.finite_co_support'proof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.coeffproof · cited by 11
- HahnSeries.SummableFamily.coeff_supportstatement · cited by 5
- HahnSeries.SummableFamily.coeff_hsum_eq_sumproof · cited by 4
- HahnSeries.SummableFamily.smul_hsumproof · cited by 2
- HahnSeries.SummableFamily.coeff_smulproof · cited by 2
- HahnSeries.SummableFamily.hsum_powerSeriesFamily_mulproof · cited by 1
- HahnSeries.SummableFamily.support_hsum_subsetproof · cited by 1
- HahnSeries.SummableFamily.support_powerSeriesFamily_subsetproof · cited by 1
- HahnSeries.SummableFamily.hsum_addproof · cited by 0
- HahnSeries.SummableFamily.coeff_hsum_eq_sum_of_subsetproof · cited by 0