Proof of `Bounded-VC duality`

groundedproofs/Lax185574Proofs/VCDuality.lean · lax-185574

What this proof establishes

no assumptions

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

In the paper

  • page 24 of this submission's paper

Description

The finite form of Matoušek's (p, q)-theorem, through ε-nets and the finite minimax theorem. Its statement has the roles of the sides swapped and needs no exception for the vertices of the sample, so it implies the form used here.