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Proof of `Exact images mixing independent injective frames` (5th 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.

Read the Lean proof on GitHub

Description

A left inverse of the coefficient matrix makes right multiplication surjective, so it sends the uniform column matrix to a uniform image.