Proof of `The finite simultaneous unary mixer estimate` (3rd statement)
groundedproofs/Lax342547Proofs/UnaryMixers.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
Choose simultaneous successful unary mixers above the explicit threshold. For each profile, tag, and label, use its factorization to define the bounded row space before any non-Z values are specified. The row-space dependence and polar-rank bound then hold for every allowed fixing with that same space.