Theorems · Definition · commutative algebra
LaurentSeries.powerSeriesPart
{R : Type u_1} → [inst : Semiring R] → LaurentSeries R → PowerSeries RThis is a power series that can be multiplied by an integer power of X to give our
Laurent series. If the Laurent series is nonzero, powerSeriesPart has a nonzero
constant term.
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 97 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PowerSeriesstatement · cited by 797
- HahnSeries.coeffproof · cited by 235
- LaurentSeriesstatement and proof · cited by 64
- PowerSeries.mkproof · cited by 52
- HahnSeries.orderproof · cited by 52
Cited by9
Results whose statement or proof uses this declaration.
- LaurentSeries.powerSeriesPart_coeffstatement · cited by 5
- LaurentSeries.single_order_mul_powerSeriesPartstatement and proof · cited by 3
- LaurentSeries.valuation_le_iff_coeff_lt_eq_zeroproof · cited by 3
- LaurentSeries.ofPowerSeries_powerSeriesPartstatement and proof · cited by 2
- LaurentSeries.coeff_zero_of_lt_valuationproof · cited by 2
- LaurentSeries.powerSeriesPart_zerostatement · cited by 1
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1
- LaurentSeries.X_order_mul_powerSeriesPartstatement and proof · cited by 1
- LaurentSeries.powerSeriesPart_eq_zerostatement · cited by 0