trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Dual Gram Visible Ranges

The two Gram operators of a finite protocol family expose its two visible ranges.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The state and protocol visible ranges are adjoint duals

RELATIONSHIP ATLAS

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Direct recorded relationships
Dual Gram Visible RangesDual Gram Visible RangesDual Gram KernelsDual Gram Kernels
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

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Documents & exposition

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/LinearMemory/DualGramVisibleRanges
Repository path
D5/S3/Observer/LinearMemory/DualGramVisibleRanges.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.