monetaryToolsCert
plain-language theorem explainer
The declaration supplies a concrete certificate asserting exactly five monetary tools by populating the cardinality field with the result of the upstream count theorem. Researchers modeling central bank policy inside the Recognition Science framework cite it to fix the dimensionality of monetary instruments at configDim D = 5. The construction is a direct field assignment that inherits the decidable proof from the count lemma.
Claim. Let $C$ be the structure requiring that the cardinality of the finite set of monetary tools equals five. The definition instantiates $C$ by setting the cardinality witness equal to the value established by the count theorem.
background
The module treats monetary policy tools as an E6 depth layer in Recognition Science, positing five canonical central-bank instruments that match configDim D = 5: open-market operations, discount rate, reserve requirement, quantitative easing, and forward guidance. The upstream theorem establishes that the cardinality of the finite type of monetary tools is exactly five by the decide tactic. The structure packages this cardinality assertion as a reusable certificate for economic modeling inside the framework.
proof idea
The definition constructs the certificate instance by a direct field assignment of the cardinality component to the upstream count theorem. This is a one-line wrapper that transfers the decidable equality into the structure field without further tactics or reductions.
why it matters
The definition completes the packaging of the monetary tool count into a certificate that anchors the economics module at configDim D = 5. It supplies the concrete witness required by the structure and aligns the five tools with the framework's dimensionality claim. No open questions remain, as the module reports zero sorry or axiom.
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