currentRRF
plain-language theorem explainer
The declaration constructs the current RRF formalization as a concrete instance of the RRFDescription structure. Researchers examining self-referential closure in Recognition Science cite it as the explicit witness that the framework describes its own core definitions and models. The definition proceeds by direct record construction that assigns the golden ratio to the core witness, the J-cost to the model, and fixed approximate counts to the theorem and hypothesis fields.
Claim. Let RRFDescription be the structure with fields core witness in $ℝ$, theorem count in $ℕ$, model witness in Nonempty$(ℝ → ℝ)$, and hypothesis count in $ℕ$. Then currentRRF is the instance whose core witness is $φ$, theorem count is 10, model witness is the J-cost, and hypothesis count is 5.
background
The RRF Foundation module treats the Lean formalization itself as a recognition event whose type-checking constitutes a measurement. RRF is the abbrev for the local non-sealed recognition field interface, maps from Fin 4 to reals into reals. RRFDescription records four pieces of self-description: a core witness in reals (witnessed by φ), a natural-number theorem count, a nonempty model of real-to-real functions, and a natural-number hypothesis count. Cost supplies the model witness via its Jcost component.
proof idea
This is a direct definition that constructs the RRFDescription record by explicit field assignment: the golden ratio φ to core_witness, the literal 10 to theorem_count, the J-cost to model_witness, and the literal 5 to hypothesis_count.
why it matters
currentRRF supplies the concrete description fed to rrf_is_fixed_point, which asserts that the RRF is a fixed point of description, and to thisFile, which asserts that the file itself is a MetaRRF. It realizes the module's claim that the framework describes itself at the deepest level of closure and that the formalization is an octave of the RRF. The construction touches the Gödel-like structure by providing an internal description while leaving full self-consistency as a separate internal-consistency result.
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