trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

All c>=2, a>=2c+1, d>=a, b>=d+1

Low-X four-bank joint orders

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH15
DOCUMENT LINKS0
THEOREM

A shared physical permutation and the ear at cut zero

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Direct recorded relationships
Combinatorics: ScheduleCombinatorics: ScheduleFour independent gaps, with no uniform allocation assumptionFour independent gaps, with nouniform allocation assumptionCombinatorics: SelectionCombinatorics: SelectionCombinatorics: TerminalsCombinatorics: TerminalsAll c>=2, a>=2c+1, d>=a, b>=d+1All c>=2, a>=2c+1, d>=a, b>=d+1
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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
15
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Circle/FourNegative/SecondPeakLowXTail/Endpoint
Repository path
D5/S3/Combinatorics/Circle/FourNegative/SecondPeakLowXTail/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.