Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.hsum_embDomain
∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} {β : Type u_6} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R]
(s : HahnSeries.SummableFamily Γ R α) (f : α ↪ β), (s.embDomain f).hsum = s.hsum- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Set.rangeproof · cited by 4,705
- Function.Embeddingstatement and proof · cited by 988
- HahnSeriesstatement and proof · cited by 528
- finsumproof · cited by 286
- HahnSeries.coeffproof · cited by 235
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.extproof · cited by 53
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- HahnSeries.SummableFamily.embDomainstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.one_sub_self_mul_hsum_powersproof · cited by 2