Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.hsum_zero
∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R],
HahnSeries.SummableFamily.hsum 0 = 0- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 0 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.
Cites7
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 · cited by 88
- HahnSeries.extproof · cited by 53
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- finsum_zeroproof · cited by 18
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.