Proof of `Compatibility and codimension of forward/reverse matrix restrictions` (2nd statement)
groundedproofs/Lax342547Proofs/MixerCompatibility.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 image is exactly the kernel of the common-block compatibility map. That map is onto the E-by-F matrices, so rank-nullity gives exactly |E| |F| independent compatibility conditions.