Proof of `Joint reference image caps across both signs and all draws` (3rd statement)
groundedproofs/Lax342547Proofs/ReferenceImages.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
Extract independent nominal image bases from both tested coefficient tuples. The original exact-image event implies these basis prescriptions, so the cap depends on the true nominal ranks even for dependent tuples.