Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `Lower concentration of the fibers of a uniform random map` (2nd statement)

groundedproofs/Lax253009Proofs/RandomFibers.lean · lax-253009

What this proof establishes

thm✓Lax253009.RandomFibers (2nd statement)

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

Description

Apply the independent bounded-variable tail bound to the negative centered indicator of membership in the fiber.