IndisputableMonolith.CrossDomain.MetaTheoremCount
The CrossDomain.MetaTheoremCount module fixes the number of cross-domain modules present in the wave-63/64 layer. Researchers tracing the meta-structure of Recognition Science cite it to confirm coverage completeness at that layer. The module supplies a sequence of definitions and equality statements that tie the count directly to the forced spatial dimension without additional hypotheses.
claimLet $N$ be the number of cross-domain modules in the wave-63/64 layer. Then $N = D^3$ with $D=3$ the spatial dimension from the unified forcing chain.
background
Recognition Science organizes theorems into wave-indexed layers, with the 63/64 layer serving as the meta-level for cross-domain aggregation. The module introduces crossDomainModuleCount as the tally function and patternsCovered together with patterns_match_D to record which spectrum patterns are realized. These rest on the phi-ladder, J-uniqueness, and the eight-tick octave already established in the foundation.
proof idea
This is a definition module, no proofs. It declares the count constant, then records the relations count_eq, count_is_D_cubed, count_in_spectrum, and average_per_pattern using Mathlib counting primitives.
why it matters in Recognition Science
The module supplies the numerical input required by MetaTheoremCountCert and metaTheoremCountCert. It thereby closes the counting step for the wave-63/64 layer and confirms alignment with T8 (D=3) and the RCL-derived spectrum.
scope and limits
- Does not enumerate individual module definitions.
- Does not compute counts for wave layers other than 63/64.
- Does not address non-cross-domain modules or external data.