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Proof of `Uniform injective frames and channel transpose failure` (1st statement)

groundedproofs/Lax342547Proofs/InjectiveFrames.lean · lax-342547

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

The uniform injective-frame law is uniform conditioning on an event of mass at least one half. Every event therefore costs at most twice its independent-column probability.