Theorems · Theorem · commutative algebra
HahnSeries.coeff_order_of_eq_add_single
∀ {Γ : Type u_1} [inst : PartialOrder Γ] {R : Type u_8} [inst_1 : AddCancelCommMonoid R] [inst_2 : Zero Γ]
{x y : HahnSeries Γ R}, x = y + (HahnSeries.single x.order) x.leadingCoeff → y.coeff x.order = 0- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffstatement and proof · cited by 235
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement and proof · cited by 82
- HahnSeries.orderstatement and proof · cited by 52
- HahnSeries.leadingCoeffstatement and proof · cited by 49
- AddCancelCommMonoidstatement and proof · cited by 48
- HahnSeries.coeff_single_sameproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.order_lt_order_of_eq_add_singleproof · cited by 1