Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.single_toFun
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R] {ι : Type u_7}
[inst_2 : DecidableEq ι] (i : ι) (x : HahnSeries Γ R) (j : ι),
(HahnSeries.SummableFamily.single i x) j = Pi.single i x j- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
- Pi.singlestatement · cited by 518
- HahnSeries.SummableFamilystatement · cited by 88
- HahnSeries.SummableFamily.singlestatement and proof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.powers_zeroproof · cited by 4
- HahnSeries.SummableFamily.powerSeriesFamily_of_not_orderTop_posproof · cited by 2
- HahnSeries.SummableFamily.powerSeriesFamily_hsum_zeroproof · cited by 1
- HahnSeries.SummableFamily.hsum_singleproof · cited by 1
- HahnSeries.SummableFamily.binomialFamily_apply_of_orderTop_nonposproof · cited by 0
- HahnSeries.SummableFamily.powers_of_not_orderTop_posproof · cited by 0