Theorems · Theorem · commutative algebra
HahnSeries.coeff_toOrderTopSubOnePos_pow
∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : AddCommMonoid Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommRing R] [inst_4 : BinomialRing R] {g : Γ} (hg : 0 < g) (r s : R) (k : ℕ),
(↑↑(HahnSeries.toOrderTopSubOnePos ⋯ ^ s)).coeff (k • g) = Ring.choose s k • r ^ k- Defined in
- Mathlib.RingTheory.HahnSeries.Binomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- add_zeroproof · cited by 2,707
- Units.valstatement and proof · cited by 1,966
- map_zeroproof · cited by 1,614
- sub_selfproof · cited by 996
- smul_zeroproof · cited by 665
- HahnSeriesstatement and proof · cited by 528
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