trureturingGitHub MATHEMATICAL ATLAS

Tower / CONCEPT

Further Non-Pisot Gap Count Instances

Three further finite beta13 gap counts are certified, and the frozen ten-digit model is proved inadequate for an all-level theorem.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Three normalized gap types at level three

RELATIONSHIP ATLAS

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Measured Non-Pisot Gap CountsMeasured Non-Pisot Gap CountsFurther Non-Pisot Gap Count InstancesFurther Non-Pisot Gap CountInstances
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S0
Domain
Tower
Node ID
D5/S0/Tower/NonPisot/GapCountInstances
Repository path
D5/S0/Tower/NonPisot/GapCountInstances.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.