Geometry / CONCEPT
The original coefficient segment and every ambient between-point
Metric segments of the same frozen six-length radial body.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH5
DOCUMENT LINKS0
An actual isometric interval with both exact range identifications
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Cyclic hyperbolic sector supporttruth-dependency · Closed
- Dual and cap sign characterization of the realizing rangetruth-dependency · Closed
- Nonempty strict dual and cap signstruth-dependency · Closed
- Original chains in cyclic hyperbolic sectorstruth-dependency · Closed
- Spacelike supporting planes in the original hyperbolic metrictruth-dependency · Closed
- Unit tangent rays in the original hyperbolic metrictruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A cap support trace is an endpoint hullstructural-affinity · Closed
- Affine independence from two support tracesstructural-affinity · Closed
- Barycenter support-ratio exitstructural-affinity · Closed
- Convex hull of a common supporting tracestructural-affinity · Closed
- Cyclic hyperbolic sector supportstructural-affinity · Closed
- Dual and cap sign characterization of the realizing rangestructural-affinity · Closed
- Finite support regions in an actual hyperbolic planestructural-affinity · Closed
- Hyperbolic upper half-space metricstructural-affinity · Closed
- Nondegeneracy of the twenty original coefficient cellsstructural-affinity · Closed
- Nonempty strict dual and cap signsstructural-affinity · Closed
- Openness of strict dual and cap signsstructural-affinity · Closed
- Original chains in cyclic hyperbolic sectorsstructural-affinity · Closed
- Original side traces, twenty-cell cover and null overlapsstructural-affinity · Closed
- Positive Diagonal of the Inverse Length Gram Matrixstructural-affinity · Closed
- Radial Image as a Gram Halfspace Slicestructural-affinity · Closed
- Spacelike supporting planes in the original hyperbolic metricstructural-affinity · Closed
- The determinant of a Lorentz Gram matrixstructural-affinity · Closed
- The finite vertices of the same common bodystructural-affinity · Closed
- Unit tangent rays in the original hyperbolic metricstructural-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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