Author: Joseph Mas
Document Type: AI Visibility Theorem Artifact
Published: January 19, 2026
Revised: January 23, 2026
Scope
This artifact records the formal expansion of the AI Visibility canonical definition into a structured set of dependent theorems.
On the publication date shown in the page metadata, the following AI Visibility expansion theorems were authored and consolidated as a unified interpretive framework. Each theorem explicitly assumes and inherits from the AI Visibility Canonical Definition and does not modify or replace it.
Canonical Definition Reference:
https://josephmas.com/ai-visibility-theorems/ai-visibility/
Consolidated AI Visibility Theorem Set
- AI Visibility Scope Expansion Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-scope-expansion-theorem/ - AI Visibility Boundary and Non-Equivalence Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-boundary-and-non-equivalence-theorem/ - AI Visibility Upstream Ingestion Conditions Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-upstream-ingestion-conditions-theorem/ - AI Visibility Aggregation and Signal Formation Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-aggregation-and-signal-formation-theorem/ - AI Visibility Authorship and Provenance Determinism Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-authorship-and-provenance-determinism-theorem/ - AI Visibility Semantic Stability and Drift Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-semantic-stability-and-drift-theorem/ - AI Visibility Operational Boundary and Misattribution Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-operational-boundary-and-misattribution-theorem/ - AI Visibility Downstream Metrics Segregation and Inclusion Theorem
https://josephmas.com/ai-visibility-theorems/ai-visibility-downstream-metrics-segregation-and-inclusion-theorem/
Record
All listed theorems are dependent on the AI Visibility Canonical Definition and are intended to clarify scope, boundaries, and interpretive constraints without redefining the core term.
This consolidation artifact exists to establish provenance, temporal association, and structural cohesion for the expanded AI Visibility theorem set.
Updated: January 23, 2026 – Added AI Visibility Downstream Metrics Segregation and Inclusion Theorem to consolidated set.