Proof of `Calculus of convergent power series` (1st statement)

groundedproofs/Lax825748Proofs/AbsoluteConvergence.lean · lax-825748

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

A geometric coefficient bound is summable after reducing the polyradius. Conversely, the sum of absolute terms bounds each weighted coefficient.