fifteen_is_3_D
plain-language theorem explainer
The equality 15 = 3 * 5 holds in the Recognition Science cardinality spectrum, where 5 is the configuration dimension for nested planet strata. Cross-domain analysts cite this witness to confirm that 15 decomposes into the allowed RS primitives generated from 3 and configDim. The proof is a direct decision procedure on natural-number arithmetic.
Claim. $15 = 3 D_5$ where $D_5 = 5$ is the configuration dimension.
background
The module collects witnesses showing that RS cardinalities form a structured spectrum reachable from the generators {2, 3}, configDim = 5, and gap45. Dconfig is the definition Dconfig : ℕ := 5. The local setting is the claim that every listed cardinality, including 15, admits an explicit decomposition into these RS primitives rather than appearing arbitrarily.
proof idea
One-line wrapper that applies the decide tactic to the arithmetic equality 15 = 3 * 5.
why it matters
This supplies one concrete member of the spectrum {2, 3, 4, 5, 6, 7, 8, 10, 12, 15, ...} required by the module's structural claim. It directly illustrates the decomposition rule 15 = 3 * configDim and thereby supports the broader assertion that RS produces only structured numbers. The factor 3 aligns with the spatial dimension D = 3 from the forcing chain.
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