trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Environment Marginal Channel

A finite controlled environment record reduces to its Gram entrywise channel.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Finite environment marginal is the record Gram channel

RELATIONSHIP ATLAS

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Direct recorded relationships
Singleton Record ClassicalitySingleton Record ClassicalityEnvironment Marginal ChannelEnvironment Marginal ChannelRepeated Record Exponential DecayRepeated Record ExponentialDecay
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Decoherence/EnvironmentMarginalChannel
Repository path
D5/S3/Quantum/Decoherence/EnvironmentMarginalChannel.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

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.