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Proof of `Mass and density costs of splitting by metadata and images` (4th statement)

groundedproofs/Lax342547Proofs/SplitTrimming.lean · lax-342547

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

Description

The discarded points are covered by small fibers, each of mass below the threshold. A finite union bound pays the number of possible split records.