Theorems · Theorem · commutative algebra

PowerSeries.coeff_subst_single

∀ {R : Type u_2} [inst : CommRing R] {σ : Type u_7} [inst_1 : DecidableEq σ] (s : σ) (f : PowerSeries R) (e : σ →₀ ℕ),
  (MvPowerSeries.coeff e) (PowerSeries.subst (MvPowerSeries.X s) f) =
    if e = fun₀ | s => e s then (PowerSeries.coeff (e s)) f else 0

Defined in

Mathlib.RingTheory.PowerSeries.Substitution

Cited by

1 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingDecidableEq