trureturingGitHub MATHEMATICAL ATLAS

Zeros / CONCEPT

Coprime Double Commutation

Coprime address translations doubly commute and their divisible subspaces meet at the product address.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH11
DOCUMENT LINKS1
THEOREM

Coprime backward and forward shifts commute

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Direct recorded relationships
Semigroup Relations and Nica CovarianceSemigroup Relations and NicaCovarianceBackward Shift AdjointBackward Shift AdjointCoprime Double CommutationCoprime Double CommutationQuasi-Lattice Order and Nica CovarianceQuasi-Lattice Order and NicaCovariance
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
11
Layer
D5/S3
Domain
Zeros
Node ID
D5/S3/Zeros/NicaCovariance/DoubleCommutation
Repository path
D5/S3/Zeros/NicaCovariance/DoubleCommutation.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.