Combinatorics / CONCEPT
Every independent natural 2<=d<c<a<=b
Second peak, middle gap: complete two-route physical joint lift
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES8
PROOF DEPTH18
DOCUMENT LINKS0
One old permutation and its single literal fresh insertion
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Algebratruth-dependency · Closed
- Every independent natural 2<=c,d<a<=btruth-dependency · Closed
- Every original (a,a,d+2,d), 2<=a and a+2<=dtruth-dependency · Closed
- Every original (a,b,d+2,d), 2<=b<a, with a+3<=d or b=2 and d=a+2truth-dependency · Closed
- Every original natural 2<=a<=b=d<ctruth-dependency · Closed
- Original gaps and one literal eartruth-dependency · Closed
- Original labels and exact unbounded domaintruth-dependency · Closed
- Strict 2<=a<b<d, d+3<=c; fallback (2,3,d+2,d), d>=4truth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Algebrastructural-affinity · Closed
- Combinatorics: Arithmeticstructural-affinity · Closed
- Combinatorics: Boundary Certificatesstructural-affinity · Closed
- Combinatorics: Certificatestructural-affinity · Closed
- Combinatorics: Physicalstructural-affinity · Closed
- Combinatorics: Physical Banksstructural-affinity · Closed
- Combinatorics: Polynomialsstructural-affinity · Closed
- Combinatorics: Polynomials Cornerstructural-affinity · Closed
- Combinatorics: Polynomials Separatedstructural-affinity · Closed
- Every independent natural 2<=c,d<a<=bstructural-affinity · Closed
- Every original (a,a,d+2,d), 2<=a and a+2<=dstructural-affinity · Closed
- Every original (a,b,d+2,d), 2<=b<a, with a+3<=d or b=2 and d=a+2structural-affinity · Closed
- Every original natural 2<=a<=b=d<cstructural-affinity · Closed
- IntegerCoverstructural-affinity · Closed
- LowBitsstructural-affinity · Closed
- Original gaps and one literal earstructural-affinity · Closed
- Original labels and exact unbounded domainstructural-affinity · Closed
- Original labels and exact unbounded domainstructural-affinity · Closed
- Strict 2<=a<b<d, d+3<=c; fallback (2,3,d+2,d), d>=4structural-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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