Dconfig
plain-language theorem explainer
Dconfig assigns the natural number 5 as the configuration dimension inside the Recognition Science cardinality spectrum. Cross-domain analysts cite it when decomposing spectrum members such as 15 = 3 * 5 or 125 = 5^3 into RS primitives. The definition is a direct constant assignment with no further computation or lemmas.
Claim. $D_ {config} := 5$
background
The module collects witnesses showing that RS cardinalities form a structured spectrum generated from the small cube-generators {2, 3}, the config dimension 5, and gap45. Dconfig stands for this configuration dimension, fixed at 5 to produce the observed numbers via multiplication, powering, and combination with spatial dimension 3. The local setting is the C21 claim that every listed cardinality admits a decomposition into these RS primitives, with zero axioms or sorrys.
proof idea
Direct definition that binds the constant 5 to Dconfig. No lemmas or tactics are invoked; the body is a literal natural-number literal.
why it matters
Dconfig supplies the value referenced by CardinalitySpectrumCert in the field Dconfig_is_5 and by downstream theorems such as fifteen_is_3_D and oneTwentyFive_is_Dcubed. It fills the configDim slot in the spectrum decomposition described in the module header and aligns with the eight-tick octave and phi-ladder structure of the forcing chain. No open question is closed here; the definition simply anchors the numerical examples.
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