proof app:A-long-proofs@proof-353

open in the book · appendices/A-long-proofs.tex:28241

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proof : app:A-long-proofs@proof-353proofproposition A.589: Cyclic subspaces and the rank of the averageA.589definition 12.90: Self-adjoint family; commutant; irreducibility12.90proposition 12.89: Reduction is commutation12.89theorem A.587: The Gaussian average is a non-zero projector that absorbs the Weyl operatorsA.587lemma A.590: The Gram matrix is universalA.590proposition A.591: Any two irreducible Weyl systems are equivalentA.591

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proves Cyclic subspaces and the rank of the average declared appendices/A-long-proofs.tex:28241