trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Finite No-Fixed-Point Orbits

Every orbit of a finite fixed-point-free map enters a nontrivial cycle.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Finite fixed-point-free orbits enter nontrivial cycles

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Finite Orbit Period BoundFinite Orbit Period BoundFinite No-Fixed-Point OrbitsFinite No-Fixed-Point Orbits
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Prerequisites

Certified topology / DOWNSTREAM

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LIBRARY / RELEASE VERSIONS

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
ObserverMemory
Node ID
D5/S3/ObserverMemory/Dynamics/FiniteNoFixedPointOrbit
Repository path
D5/S3/ObserverMemory/Dynamics/FiniteNoFixedPointOrbit.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.