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Checker-To-Theorem Pattern

Most LeanCert certificate APIs follow the same trust pattern:

computable checker = true
+ soundness theorem
= semantic theorem

The checker may run through decide, native_decide, or a tactic-generated proof term. The trusted part is not the search process; it is the theorem that interprets a successful checker result.

This pattern is described architecturally in:

Use this page as the conceptual bridge between direct automation and structured certificate templates.