Proof of `Exact images mixing independent injective frames` (1st 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
Each source-frame injectivity conditioning costs at most two. The product density is therefore at most 2^(number of draws); pushing it through the joint image map preserves this bound against the exact uniform image law, with no restriction on the tuple rank.