Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.powerSeriesFamily_smul
∀ {Γ : Type u_1} {R : Type u_3} {V : Type u_4} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ]
[inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : CommRing R] [inst_4 : CommRing V] [inst_5 : Algebra R V]
{x : HahnSeries Γ V} (f : PowerSeries R) (r : R),
HahnSeries.SummableFamily.powerSeriesFamily x (r • f) =
(HahnSeries.single 0) r • HahnSeries.SummableFamily.powerSeriesFamily x f- Defined in
- Mathlib.RingTheory.HahnSeries.HEval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
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- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- LinearOrderstatement and proof · cited by 8,572
- Equiv.symmproof · cited by 3,681
- PowerSeriesstatement and proof · cited by 797
- map_smulproof · cited by 566
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- PowerSeries.coeffproof · cited by 324
- Equiv.symm_apply_applyproof · cited by 320
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