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Theorems · Definition · commutative algebra

PowerSeries.substInvFun

{R : Type u_2} → [inst : CommRing R] → (P : PowerSeries R) → [Invertible ((PowerSeries.coeff 1) P)] → ℕ → R

Given a power series P = u • X + O(X²) with u invertible, this is the construction of a power series Q such that P(Q(X)) = X.

Defined in
Mathlib.RingTheory.PowerSeries.Substitution
Cited by
4 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingInvertible

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