Theorems · Theorem · commutative algebra

PowerSeries.coeff_subst_sum_C_substInvFun_mul_X_pow_sub_X

∀ {R : Type u_2} [inst : CommRing R] (P : PowerSeries R),
  PowerSeries.constantCoeff P = 0 →
    ∀ [inst_1 : Invertible ((PowerSeries.coeff 1) P)] (n : ℕ),
      (PowerSeries.coeff n)
          (PowerSeries.subst (∑ i, PowerSeries.C (P.substInvFun ↑i) * PowerSeries.X ^ ↑i) P - PowerSeries.X) =
        0

Defined in: Mathlib.RingTheory.PowerSeries.Substitution
Cited by: 1 results in Mathlib
Foundations: Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Invertible

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