Analytic / CONCEPT
AnalyticZeroSetNull
A real analytic function on finite-dimensional real coordinate space has a null zero set whenever it has a nonzero value.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS0
ae_ne_zero_of_analytic
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Diagonal rigidity of bounded-degree evaluationsstructural-affinity · Closed
- Full Original World Mean Spanstructural-affinity · Closed
- GenericLieLengthstructural-affinity · Closed
- GenericLieLengthConstructionstructural-affinity · Closed
- GenericLieLengthFiltrationstructural-affinity · Closed
- Pauli rotations with a hypersurface of critical valuesstructural-affinity · Closed
- Three source directions in every mixed wordstructural-affinity · Closed
- Trace-kernel nuisance geometry for mixed wordsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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