From CIF to the Fundamental Theorem of Algebra Lesson 5
A single proof chain, animated end to end: the Cauchy Integral Formula gives derivative formulas, which give Cauchy's estimates, which give Liouville's theorem, which proves that every nonconstant polynomial has a root. Each link pairs a visualization with a step-through proof. Lesson 5 embeds a shorter scrolly recap of this same chain (9 steps) — this standalone page is the long-form version.