trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Cyclic Nearest Returns

Finite linear orders carry mutually inverse cyclic nearest-return maps.

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

Cyclic nearest-return specification

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Cyclic Nearest ReturnsCyclic Nearest ReturnsCyclic Gap PartitionCyclic Gap Partition
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None recorded in this release.

Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/CyclicNearestReturn
Repository path
D5/S1/Recurrence/CyclicNearestReturn.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.