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Proof of `Trimming a restricted family of exact-pin leaves` (1st statement)

groundedproofs/Lax342547Proofs/RestrictedLeaves.lean · lax-342547

What this proof establishes

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

Use the combined retained mass to bound discarded weight. Every retained leaf has a positive restriction mass, and its normalization preserves all quotient-rank image tests with the stated loss. Retain exact weighted recovery and the explicit absolute joint density factor.