Item 109: Preservation for a logical-inductor principal

ThinLegitimacy.preservation is finite and exact: conditional reflection in her model, authorship and transparency give conditional reflection in the actual process. A logical-inductor principal's self-trust is asymptotic — the inherited value_iff_totalTrust_asymptotic and the pinned self-trust results — and her program is not a posterior. Wanted: the preservation theorem in the asymptotic form: with the inductor's conditional self-trust as the hypothesis on her model and transparency as the actual record generated as the model says, the actual process satisfies the same self-trust in the limit; and which of the finite theorem's hypotheses survive (coherence becomes a property of the inductor; authorship and transparency stay).

Deliverable shape: Lean over the pinned LogicalInduction API with the self-trust results entered by content as named hypotheses. Acceptance check: Lean audits clean; the inherited asymptotic row cited. Context: projects/deference/rounds/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md Part A (theorems 5, 6); InheritedAlgebra.lean §value_iff_totalTrust_asymptotic; the pinned SelfTrust.lean. Consumed by: the post's statement for an inductor principal, and the LI-corrigibility line's event-linked authorization. A solution ships: the asymptotic preservation theorem, or the obstruction.