Proof of `Counting tuples of symmetric matrices with bounded total rank` (1st statement)
groundedproofs/Lax342547Proofs/ProfileCounting.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.
Description
Every actual cut-profile component is a sum of symmetric point moments. The underlying component tuple embeds the bounded-rank cut profiles into the symmetric tuples counted above.