Proof of `The distribution of mixer rows on free directions`
groundedproofs/Lax342547Proofs/MixerRowLaw.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
The full forward/reverse restrictions have exactly |E||F| compatibility conditions. Reading only free directions is a surjective linear map on the space of unconstrained lists, so it cannot increase codimension. The binary uniform-image bound supplies the factor 2^(|E||F|).