Combinatorics / CONCEPT
Full source completion from one actual opposite pair
One actual opposite-value pair forces a complete physical source order at the conjectured capacity, including the all-zero row.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS0
One opposite relation propagates along the physical cycle
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A full exchange retaining every old SMALLstructural-affinity · Closed
- Full exchange through the physical SMALL source halfstructural-affinity · Closed
- Isolated SMALL labels with no bound on their numberstructural-affinity · Closed
- Moving one LARGE label across an arbitrary mixed suffixstructural-affinity · Closed
- Native full completion with exactly two physical SMALL labelsstructural-affinity · Closed
- Period-closing rigidity for two SMALL gapsstructural-affinity · Closed
- Placing two SMALL occurrences across two free gapsstructural-affinity · Closed
- Positive odd penultimate exchanges with genuine SMALL returnsstructural-affinity · Closed
- Reset decomposition of arbitrary legal wordsstructural-affinity · Closed
- Same-sign substitution with a compatible suffixstructural-affinity · Closed
- Single SMALL rigidity and forward cyclic completionstructural-affinity · Closed
- Three same-sign SMALL labels, including adjacencystructural-affinity · Closed
- Three-small block placement in the sixfold normalizationstructural-affinity · Closed
- Two opposite LARGE labels: the complete three-case exchangestructural-affinity · Closed
- Whole-suffix boundaries and a negative prefix pairstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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