Theorems · Theorem · commutative algebra
HahnSeries.C_mul_eq_smul
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : Semiring R] {r : R} {x : HahnSeries Γ R}, HahnSeries.C r * x = r • x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.Cstatement · cited by 15
- HahnSeries.single_zero_mul_eq_smulproof · cited by 1
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