scheduleNeutral
plain-language theorem explainer
scheduleNeutral encodes the requirement that the signed contributions over an aligned 8-tick window sum to zero. Engineers verifying Nautilus-class Class C power schedules cite it to enforce net-zero operation across the period. The declaration is realized as a direct predicate definition on the Schedule type with no additional lemmas or tactics.
Claim. A schedule $s : Fin 8 → ℤ$ is neutral when $∑_{i : Fin 8} s(i) = 0$.
background
The Superhuman.TechnologicalAccess module formalizes the Nautilus-class technological access path for Class C powers. Power tiers and mappings are treated as structural MODEL definitions, while engineering parameters come from the NTL provisional patent stack. Schedule is introduced locally as the abbrev Fin 8 → ℤ, representing an 8-tick schedule whose values are signed integer contributions per tick. This construction aligns with the eight-tick octave (period 2^3) from the forcing chain. Upstream, the Schedule structure in Atomicity supplies the sequential one-per-tick history model, and the constant A from IntegrationGap fixes the active edge count per fundamental tick at 1.
proof idea
The declaration is a direct definition that sets scheduleNeutral s to the predicate (∑ i : Fin 8, s i) = 0. No lemmas are invoked and no tactics are required; the body is the literal sum-equality statement.
why it matters
scheduleNeutral supplies the neutrality predicate used by the downstream balancedSchedule_neutral theorem, which confirms that the balanced schedule satisfies the zero-sum condition. It implements the neutrality constraint for the eight-tick window inside the Technological Access module, directly instantiating the T7 eight-tick octave landmark. The definition closes the engineering-parameter slot for balanced Class C operation without introducing new hypotheses or open scaffolding.
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