recognition_event_exists
plain-language theorem explainer
The theorem asserts existence of a recognition event realized by compilation of the RRF self-reference module. Researchers modeling self-referential closure in Recognition Science cite it to confirm the framework describes its own consistency. The proof is a one-line term construction supplying the explicit witness this_is_recognition as the inhabitant of Nonempty.
Claim. There exists a structure whose fields are a Lean source module, a successful type-check outcome, and a boolean flag set to true, witnessing that compilation of the RRF formalization counts as a recognition event.
background
The module RRF.Foundation.SelfReference formalizes the claim that the Recognition framework refers to itself. CompilationAsRecognition is the structure with fields code : LeanCode, compiles : TypeCheckResult, and recognized : Bool; its doc-comment states that Lean type-checking verifies propositions as consistent with the type theory. The upstream definition this_is_recognition supplies the concrete instance with source field set to the current module and compiles set to success. The lemma self from RecogSpec.Core establishes that a real number phi is closed under the phi-subfield operation, supplying the algebraic closure background used in the surrounding self-reference development.
proof idea
The proof is a term-mode construction. It applies the Nonempty constructor directly to the term this_is_recognition, which is the structure literal carrying code, compiles := .success, and recognized := true.
why it matters
The result supplies the terminal closure step in the RRF self-reference foundation, confirming that the Lean formalization itself forms an octave of the RRF. It realizes the module-level claim that the framework can refer to its own consistency without internal contradiction, while respecting the Gödel limitation on proving consistency from within. No downstream theorems are recorded, so the declaration stands as the explicit witness for the self-description property.
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