trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

Zero-Prepended First Sums and Odd Parts

Zero-prepended first sums of increasing positive lists correspond to odd-part partitions.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The odd-parts correspondence

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First Sums of Decreasing PartitionsFirst Sums of DecreasingPartitionsZero-Prepended First Sums and Odd PartsZero-Prepended First Sums andOdd PartsStrict First Sums and Gapfree Odd PartsStrict First Sums and GapfreeOdd PartsTwo-layer solid partitions with a second layer of size 3Two-layer solid partitions witha second layer of size 3
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/Compositions/ZeroPrependedFirstSumsOddParts
Repository path
D5/S1/Words/Compositions/ZeroPrependedFirstSumsOddParts.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.