trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Explicit Exceptional Orbits

Three explicit orbit words leave the avoidance layers at successive depths.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH13
DOCUMENT LINKS1
THEOREM

The exceptional orbit chain

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Reduction along the Distinguished CycleReduction along theDistinguished CycleAppending a Maximal Fixed PointAppending a Maximal Fixed PointThe Descending Parameter FamilyThe Descending Parameter FamilyExplicit Exceptional OrbitsExplicit Exceptional OrbitsShape of Parameters with a Final MaximumShape of Parameters with aFinal MaximumLocation of the Parameter MaximumLocation of the ParameterMaximum
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
13
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateExceptional
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateExceptional.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.