Theorems · Theorem · commutative algebra
PowerSeries.coe_pow
∀ {R : Type u_1} [inst : Semiring R] (f : PowerSeries R) (n : ℕ),
(HahnSeries.ofPowerSeries ℤ R) (f ^ n) = (HahnSeries.ofPowerSeries ℤ R) f ^ n- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 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.
Cites7
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
- RingHomstatement · cited by 10,189
- PowerSeriesstatement and proof · cited by 797
- HahnSeriesstatement · cited by 528
- HahnSeries.ofPowerSeriesstatement and proof · cited by 45
- RingHom.map_powproof · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_single_zpowproof · cited by 3
- LaurentSeries.coeff_zero_of_lt_valuationproof · cited by 2
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1