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Proof of `Raw matrix frames and their tensor realization`

groundedproofs/Lax342547Proofs/RawFrames.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.

Read the Lean proof on GitHub

Description

Injectivity of the two primal frames recovers each column and row of the coefficient matrix. Transposing the minus annihilator gives YTP=0Y^TP=0, which makes every self-contraction vanish.