Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.coeff_def
∀ {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 : α) (g : Γ), (s.coeff g) a = (s a).coeff g- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 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.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement · cited by 5,255
- HahnSeriesstatement · cited by 528
- HahnSeries.coeffstatement · cited by 235
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.SummableFamily.coeffstatement · cited by 11
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