Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `Ambient symmetries and frame marginals` (1st statement)

groundedproofs/Lax342547Proofs/FrameSymmetry.lean · lax-342547

What this proof establishes

no assumptions

lem✓Lax342547.FrameSymmetry (1st statement)

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

Fixing the channel Gram fixes the entire block Gram of the combined frames. The paired-matrix orbit theorem therefore transports every raw frame to every other frame with that same channel Gram.