Proof of `Joint distribution of the unary mixer row matrix` (1st statement)
groundedproofs/Lax342547Proofs/UnaryRowLaw.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
Joint observations of all independent L and R matrices have total compatibility codimension at most 2J(Σr)². Selecting the incident row entries is surjective on the unconstrained lists and cannot increase codimension. The uniform linear-image bound gives the claimed density.