trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Threshold counts in overpartitions

A finite identity relates the full threshold statistic on native overpartitions to total and nonoverlined part counts.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

The uniform finite identity

RELATIONSHIP ATLAS

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Direct recorded relationships
Strict First Sums and Gapfree Odd PartsStrict First Sums and GapfreeOdd PartsThreshold counts in overpartitionsThreshold counts inoverpartitions
Proof dependencyStructural affinityDocument link

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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
3
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Partitions/OverpartitionThreshold
Repository path
D5/S3/Combinatorics/Partitions/OverpartitionThreshold.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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.