average_per_pattern
plain-language theorem explainer
The theorem records that the cross-domain module count of 27 satisfies the arithmetic relation obtained by multiplying by 10. Meta-theorists enumerating structural theorems in the Recognition Science cross-domain layer cite this as a numerical witness for the total of 27 modules. The proof is a one-line decision procedure on natural-number arithmetic.
Claim. If the number of cross-domain modules equals 27, then the product of that count with 10 equals 270.
background
The module enumerates 27 cross-domain theorems (C1 through C27) that appear across multiple domains in Recognition Science, with the present declaration serving as C28 to certify the total. The upstream definition fixes the cross-domain module count at exactly 27. The local setting is the wave-64 meta-count layer whose Lean status is reported as zero sorry statements and zero axioms.
proof idea
The proof is a one-line wrapper that applies the decide tactic to the equality between 27 multiplied by 10 and 270.
why it matters
The declaration supplies the arithmetic witness that closes the meta-count for the cross-domain layer inside the C28 module. It directly supports the module's claim of a quantifiable number of joint structural theorems. No downstream results depend on it.
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