gap45
plain-language theorem explainer
The gap-45 complexity ceiling is introduced as the natural number 45 inside the RS-coupled axes module. Workers on cross-domain combination theorems in Recognition Science cite this bound when limiting the number of axes that can be treated as independent. The declaration is a direct constant assignment with no computation or proof steps.
Claim. Define the gap-45 complexity ceiling as the natural number $45$.
background
The RS-Coupled Axes module supplies infrastructure for cross-domain combination theorems. Two finite axes of equal cardinality count as independent only when they carry distinct recognition primitives. The gap-45 complexity ceiling appears in this setting as an explicit numerical bound on such combinations.
proof idea
The definition is a direct constant assignment of 45 with no lemmas or tactics applied.
why it matters
This supplies the explicit numerical value for the gap-45 complexity ceiling referenced in the module's infrastructure for axis independence. It supports the clean foundation (zero sorry, zero axiom) for later cross-domain results. No downstream theorems are listed in the current graph.
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