Theorems · Theorem · commutative algebra
HahnSeries.pow_add
∀ {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] {x : ↥(HahnSeries.orderTopSubOnePos Γ R)} {r s : R},
x ^ (r + s) = x ^ r * x ^ s- 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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Cites22
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- 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 and proof · cited by 2,804
- Units.valproof · cited by 1,966
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- BinomialRingstatement and proof · cited by 46
- HahnSeries.SummableFamily.hsumproof · cited by 39
- SetLike.coe_eq_coeproof · cited by 21
- Units.val_injproof · cited by 20
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