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exists_convex_rn_add_two_vc_n_forall_not_hasAddVCNDimAtMost
Specification
There exists a set of infinite $\mathrm{VC}_n$ dimension in $\mathbb R^{n + 2}$.
Lean 4 Statement
lemma exists_convex_rn_add_two_vc_n_forall_not_hasAddVCNDimAtMost (n : ℕ) :
∃ C : Set (Fin (n + 2) → ℝ), Convex ℝ C ∧ ∀ d, ¬ HasAddVCNDimAtMost C n d
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