Proof of `Two-sided Gram normalization for individually injective frames` (2nd statement)
groundedproofs/Lax342547Proofs/GramNormalization.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 plus frame is injective with mass at least 1-2^(p-N). On each such slice, the exact Gram factor is 2^(-pq), and the remaining minus-frame injectivity costs at most 2^(p+q-N). Finite product-law integration multiplies these three explicit lower bounds.