Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.isPWO_iUnion_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), (⋃ a, (s a).support).IsPWO- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 4 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.
Cites9
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
- Set.iUnionstatement · cited by 2,483
- HahnSeriesstatement · cited by 528
- Set.IsPWOstatement · cited by 99
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.supportstatement · cited by 84
- HahnSeries.SummableFamily.isPWO_iUnion_support'proof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.smul_hsumproof · cited by 2
- HahnSeries.SummableFamily.coeff_smulstatement and proof · cited by 2
- HahnSeries.SummableFamily.finite_co_support_prod_smulproof · cited by 1
- HahnSeries.SummableFamily.coeff_hsum_mulstatement and proof · cited by 0