Proof of `Joint minus images after exposing several plus frames` (1st statement)
groundedproofs/Lax342547Proofs/ProductMinusImages.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
Reindex all affine columns into one independent family. Their common translation space is the annihilator of every exposed plus frame and has dimension at least N-k(d+h). The arbitrary-rank affine image theorem then gives t times this dimension, including directions mixing draws.