rsi_count_five
plain-language theorem explainer
Recognition Science extracts exactly five canonical number-theoretic identities from the forcing chain. A researcher certifying completeness of the phi-ladder and gap relations would cite this count when building higher certificates. The proof is a direct reflexivity step on the constant definition of the count.
Claim. The number of key Recognition Science number-theoretic identities equals five.
background
The module catalogues identities drawn from the Recognition Science forcing chain T0-T8. These comprise the golden ratio relations phi^1 = phi, phi^2 = phi + 1, phi^5 = 5 phi + 3, the bound phi^8 > 46 near gap45 + 1, and phi^44 > 10^8 for the baryogenesis threshold. The upstream definition states '5 key RS number-theoretic identities' and sets the count to the natural number 5.
proof idea
The proof is a one-line wrapper that applies reflexivity to match the theorem statement against the definition of the count.
why it matters
The result populates the five_identities field inside the numberTheoryCert structure. It completes the enumeration of the five identities listed in the module documentation, closing the catalogue step that links the phi-ladder relations to the Recognition Science constants.
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