Theorems · Definition · commutative algebra
HahnSeries.single
{Γ : Type u_1} → {R : Type u_3} → [inst : PartialOrder Γ] → [inst_1 : Zero R] → Γ → ZeroHom R (HahnSeries Γ R)single a r is the Hahn series which has coefficient r at a and zero otherwise.
- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 82 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- Pi.singleproof · cited by 518
- ZeroHomstatement · cited by 161
Cited by85
Results whose statement or proof uses this declaration.
- HahnSeries.Cproof · cited by 15
- HahnSeries.coeff_single_samestatement · cited by 14
- HahnSeries.coeff_single_of_nestatement · cited by 9
- HahnSeries.C_applystatement · cited by 6
- HahnSeries.orderTop_singlestatement and proof · cited by 6
- HahnSeries.single_mul_singlestatement and proof · cited by 6
- HahnSeries.ofPowerSeries_Xstatement · cited by 5
- HahnSeries.single_powstatement and proof · cited by 5
- HahnSeries.support_single_of_nestatement · cited by 5
- HahnSeries.order_singlestatement and proof · cited by 4
- HahnSeries.coeff_singlestatement and proof · cited by 4
- HahnSeries.support_single_subsetstatement · cited by 4