Erdős problem 107 · problems.science

Let $f(n)$ be minimal such that any $f(n)$ points in $ℝ^2$ , no three on a line, contain $n$ points which form the vertices of a convex $n$ -gon. Prove that $f(n) = 2^{n-2} + 1$ .

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7 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

107.lean

Retained formal statement4 of 7

For every $n ≥ 3$ , there exists $N$ such that any $N$ points, no three on a line, contain a convex $n$ -gon.

FormalConjectures/ErdosProblems/107.leanErdos107.nonempty_cardSet1 lineExact file

1∀ n ≥ 3, (Erdos107.cardSet n).Nonempty

SolvedStatement only, no proof

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