count_eq
plain-language theorem explainer
The cross-domain layer of Recognition Science contains exactly 27 joint structural theorems. Meta-analyses of the framework cite this equality to close the enumeration of C1 through C27. The proof reduces directly to reflexivity on the definition of the module count.
Claim. The number of cross-domain modules in the wave-63/64 layer equals 27.
background
The module supplies the meta-claim that the cross-domain layer now contains a countable set of joint structural theorems. It lists C1–C27, each linked to concrete structures such as 5×5×5 lattices, φ-ratios, or 8-tick involutions, and treats the present declaration as C28. Upstream results include the definition crossDomainModuleCount : ℕ := 27 together with structure declarations from nucleosynthesis tiers, ledger factorization, J-cost, spectral emergence, and physics complexity that populate the enumerated theorems.
proof idea
The proof is a one-line term that applies reflexivity to the definition of crossDomainModuleCount.
why it matters
This equality populates the count field of MetaTheoremCountCert, which is referenced by certification records in urban-density and hurricane-category modules. It completes the explicit list of 27 theorems given in the module documentation and notes the numerical coincidence with D³. The result sits inside the broader cross-domain layer that inherits the forcing chain, RCL, and phi-ladder from the foundation modules.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.