Theorems · Theorem · commutative algebra
LaurentSeries.ofPowerSeries_powerSeriesPart
∀ {R : Type u_1} [inst : Semiring R] (x : LaurentSeries R),
(HahnSeries.ofPowerSeries ℤ R) x.powerSeriesPart = (HahnSeries.single (-HahnSeries.order x)) 1 * x- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- PowerSeriesstatement · cited by 797
- HahnSeriesstatement and proof · cited by 528
- neg_add_cancelproof · cited by 256
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement and proof · cited by 82
- LaurentSeriesstatement and proof · cited by 64
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.coeff_zero_of_lt_valuationproof · cited by 2
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1