La Profilée - Structural Extensions and Forced Derivations: Five Theorems from the Axiomatic Base

This paper derives five structural theorems directly from the axiomatic base of La Profilée (LP). Each theorem is forced: the conclusion follows from the relational structure (S, G, ℒ) and the persistence condition by necessity, not by interpretation. The paper first fixes the minimal structural ontology Σ = (S, G, ℒ) from which all results are derived. It then establishes: (T1) R-Amplification — any degradation in I increases IR by definition of IR as a structural ratio; (T2) F-Regeneration Admissibility — identity in LP is defined as terminal SCC membership, making regeneration a question of graph reachability, not philosophy; (T3) Vertical IR Aggregation — system-level integration capacity is bounded by the weakest coupling along critical integration paths, as a network constraint; (T4) Frame Collision Direction — contamination flows unconditionally from the system with greater boundary leakage L; under matched collision conditions this is monotonic in IR; (T5) Structural Time Invariance — τ is dimensionless, so scale invariance follows from its definition. No new axioms are introduced.