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

Proof of `Sparse profiles from raw intersections (Lemma 4.4)` (3rd statement)

groundedproofs/Lax342547Proofs/SparseIntersections.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

The coefficient-count union estimate bounds the actual joint-capped law's intersection exception. Outside it, injective tensor rank preservation, cyclic majority normalization, and the concrete trace identity give all the rank, support, uniqueness, and chiStar assertions of Lemma 4.4.