Applications

Formal Verification of Legal Contracts: Contracts with subrogation clauses can be modeled using embedded submanifold theory, allowing for automated checking of consistency and potential for double-recovery "singularities."

Conflict of Laws Analysis: The framework provides a neutral, formal language to compare how different jurisdictions (modeled as different "ambient manifolds" L₁, L₂) handle the embedding of subrogation claims.

Pedagogical Tool: Provides law students with a rigorous, abstract model to understand the precise, conditional nature of derivative legal rights.