Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.hsum_single
∀ {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), (HahnSeries.SummableFamily.single i x).hsum = x- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffproof · cited by 235
- Pi.single_eq_sameproof · cited by 144
- Pi.single_eq_of_neproof · cited by 116
- HahnSeries.extproof · cited by 53
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- finsum_eq_singleproof · cited by 18
- HahnSeries.SummableFamily.coeff_hsumproof · cited by 7
- HahnSeries.SummableFamily.single_toFunproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.inv_singleproof · cited by 3