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Proof of `Quantitative trimming after restrictions of a leaf mixture` (5th statement)

groundedproofs/Lax342547Proofs/LeafTrimming.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

A surviving fraction at least 2^(-zeta N) costs at most zeta N in the exponent. Since the tested rank is at least one, this fits the stated loss from 1-zeta to 1-2zeta uniformly over all ranks.