trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Equal last three gaps with an explicit literal cut

An actual physical joint-prefix family for all a>=s>=2

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH14
DOCUMENT LINKS0
THEOREM

Every s>=2 and a>=s

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
The same physical order in both rowsThe same physical order in bothrowsThe same physical order in both rowsThe same physical order in bothrowsEqual last three gaps with an explicit literal cutEqual last three gaps with anexplicit literal cutAll a>d>=max(b,c), with b,c at least twoAll a>d>=max(b,c), with b,c atleast two
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

None recorded in this release.

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
14
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Circle/FourNegative/EqualLastThreeUpper/Endpoint
Repository path
D5/S3/Combinatorics/Circle/FourNegative/EqualLastThreeUpper/Endpoint.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.