Theorems · Theorem · commutative algebra

LaurentSeries.hasseDeriv_comp_coeff

∀ {R : Type u_1} [inst : Semiring R] {V : Type u_2} [inst_1 : AddCommGroup V] [inst_2 : Module R V] (k l : ℕ)
  (f : LaurentSeries V) (n : ℤ),
  ((LaurentSeries.hasseDeriv R k) ((LaurentSeries.hasseDeriv R l) f)).coeff n =
    ((k + l).choose k • (LaurentSeries.hasseDeriv R (k + l)) f).coeff n

Defined in

Mathlib.RingTheory.LaurentSeries

Cited by

1 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommGroupModule