Theorems · Theorem · commutative algebra
LaurentSeries.X_order_mul_powerSeriesPart
∀ {R : Type u_1} [inst : Semiring R] {n : ℕ} {f : LaurentSeries R},
↑n = HahnSeries.order f → (HahnSeries.ofPowerSeries ℤ R) (PowerSeries.X ^ n * f.powerSeriesPart) = f- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 1 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
- map_mulproof · cited by 1,137
- PowerSeriesstatement · cited by 797
- HahnSeriesstatement · cited by 528
- one_powproof · cited by 521
- map_powproof · cited by 503
- nsmul_eq_mulproof · cited by 369
- PowerSeries.Xstatement and proof · cited by 183
- HahnSeries.singleproof · cited by 82
Cited by1
Results whose statement or proof uses this declaration.
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1