Proof of `Exact images mixing independent injective frames` (2nd statement)
groundedproofs/Lax342547Proofs/ProductImages.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 independently sampled columns by the direct sum over draws. Injectivity of the nominal coefficient tuple then gives the exact uniform law, even when every direction mixes several source frames.