count_eq
plain-language theorem explainer
The cross-domain layer of Recognition Science contains exactly 27 joint structural theorems. Meta-structure analysts cite this equality to anchor the enumeration of modules C1 through C27. The proof is a one-line reflexivity on the explicit natural-number definition of the module count.
Claim. The number of cross-domain modules in the wave-64 layer equals 27.
background
This module supplies a structural meta-claim that the cross-domain layer holds a countable set of joint structural theorems. The module documentation enumerates 27 modules, each carrying a specific structural property such as 5×5×5 lattices in CognitiveStateSpace or phi-ratio sharing in PhiLadderUniversality, running from C1 to C27 RecognitionGenerators with spectrum drawn from {2, 3, 5}. The local setting is the wave-64 cross-domain layer whose total is witnessed here as C28.
proof idea
The proof is a one-line wrapper that applies reflexivity to the definition crossDomainModuleCount := 27.
why it matters
This equality anchors the MetaTheoremCountCert structure, which supplies the count field for downstream certifications in urban density from the phi-ladder and hurricane categories. It completes the meta-claim for the wave-64 layer and notes the numerical match 27 = 3³ with the spatial dimension D forced in the unified forcing chain. The result ties the enumeration to upstream universality statements on J-convexity and spectral emergence.
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