trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

The Descending Parameter Family

The decreasing word has an explicit fundamental image and characterizes parameters ending with one.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH12
DOCUMENT LINKS1
THEOREM

The decreasing family and its later orbit

RELATIONSHIP ATLAS

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Direct recorded relationships
Cycles from Record BlocksCycles from Record BlocksPartition into Marked IntervalsPartition into Marked IntervalsPositional Constraints in Record BlocksPositional Constraints inRecord BlocksThe Increasing Tail FamilyThe Increasing Tail FamilyThe Descending Parameter FamilyThe Descending Parameter FamilyExplicit Exceptional OrbitsExplicit Exceptional OrbitsRecursive Enumeration of First-Endpoint ParametersRecursive Enumeration of First-Endpoint Parameters
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
12
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateVFamilies
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateVFamilies.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.