Proof of `Calculus of convergent power series` (3rd statement)

groundedproofs/Lax825748Proofs/PowerSeriesBounds.lean · lax-825748

What this proof establishes

no assumptions

thm✓Lax825748.AnalyticCalculus (3rd statement)

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

Differentiation multiplies a coefficient by at most $|I|+1\leq 2^{|I|}$ ; enlarging the geometric constant preserves convergence.