neon_is_noble
plain-language theorem explainer
Neon with atomic number 10 satisfies the noble gas predicate under the eight-window neutrality definition. Chemists using the Recognition Science periodic table scaffold would cite this as a basic closure instance in the forced set. The proof reduces to a single native decision on set membership.
Claim. The atomic number 10 belongs to the noble gas set, i.e., $10$ satisfies the predicate that $Z$ lies in the collection of elements achieving cumulative valence cost of zero modulo 8.
background
The Periodic Table module supplies a zero-parameter engine that maps the eight-tick octave to chemical shell closures via phi-tier rails and fixed block offsets. Noble gases are defined exactly as the points where the running valence imbalance returns to neutrality within an 8-window ledger. The predicate isNobleGas Z holds if and only if Z belongs to the fixed list nobleGasZ of such closure points.
proof idea
One-line wrapper that applies native_decide to discharge the membership test for 10 against the noble gas list.
why it matters
This instance fills the Noble Gas Closure Theorem (P0-A0) for Z=10, confirming that the set {2, 10, 18, 36, 54, 86} is forced by the requirement of 8-window neutrality. It directly instantiates the eight-tick ledger balance (T7) as the chemical manifestation of the Recognition Science scheduler without any per-element fitting.
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