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Theoremadvanced

Gauss-Lucas theorem

Also called Lucas theorem on critical points.

The roots of a polynomial's derivative lie in the convex hull of its roots.

The roots of a polynomial's derivative lie in the convex hull of its roots.

About this page

The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator