Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.hsum_add
∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R]
{s t : HahnSeries.SummableFamily Γ R α}, (s + t).hsum = s.hsum + t.hsum- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddCommMonoid
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.extproof · cited by 53
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- HahnSeries.SummableFamily.finite_co_supportproof · cited by 9
- finsum_add_distribproof · cited by 4
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