crossDomainModuleCount
plain-language theorem explainer
The definition assigns the natural number 27 to the total count of cross-domain modules in the Recognition Science wave-63/64 layer. Meta-theorists cite this constant when tallying the joint structural results enumerated across the C1-C27 modules. The declaration is introduced as a direct constant assignment with no computation or lemmas.
Claim. Let $c$ denote the number of cross-domain modules in the wave-63/64 layer of Recognition Science. Then $c = 27$.
background
The module enumerates 27 cross-domain modules labeled C1 through C27, each supplying joint structural results such as 5×5×5 lattices in CognitiveStateSpace, φ-ratio sharing in PhiLadderUniversality, and spectra from {2, 3, 5} in RecognitionGenerators. Module documentation frames the list as a structural meta-claim that the cross-domain layer contains a quantifiable number of joint structural theorems, with this declaration recorded as C28. The local setting assumes a Lean formalization with zero sorries and zero axioms.
proof idea
The declaration is a direct definition that assigns the constant 27.
why it matters
This definition supplies the base count referenced by downstream results including count_eq, count_is_D_cubed, count_in_spectrum, average_per_pattern, and the certification structure MetaTheoremCountCert. It realizes the C28 meta-claim in the module documentation and connects to the framework landmark D = 3 spatial dimensions through the observation that 27 equals 3 cubed. It touches the open question whether the numerical match with the spatial-dimension cube is coincidental.
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