Back to Problems

exists_infinite_convex_r3_shatters

Specification

There exists a set in $\mathbb R^3$ shattering an infinite set.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement 
lemma exists_infinite_convex_r3_shatters :
    ∃ A C : Set ℝ³, A.Infinite ∧ Convex ℝ C ∧ Shatters {t +ᵥ C | t : ℝ³} A
ID: Other__VCDimConvex__exists_infinite_convex_r3_shatters
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.