NautilusTier
plain-language theorem explainer
NautilusTier enumerates three discrete power levels for Nautilus-class hardware supporting Class C superhuman abilities. Modelers of engineered superhuman systems cite the inductive type when mapping powers such as flight or force fields to minimum hardware requirements. The declaration is a bare inductive definition with three constructors and automatic derivation of DecidableEq and Repr.
Claim. The Nautilus power tiers are the inductive type with constructors quietRoom, temple, and ignition, carrying approximate power ranges of 10–100 W, 5–10 kW, and >100 kW pulsed respectively.
background
The Superhuman.TechnologicalAccess module formalizes the Nautilus-class access path for Class C powers as a structural model. NautilusTier sits alongside the upstream Power inductive, which enumerates the 27 canonical superhuman powers drawn from cross-cultural sources. Imports include UniversalForcingSelfReference.for (a structure recording meta-realization properties) and several W abbreviations that denote the wallpaper-group count of 17 in mass and topology contexts, though these serve only as anchors here.
proof idea
This is a direct inductive definition with no lemmas applied and no tactics or computational reduction.
why it matters
The definition supplies the domain for requiredTier (which maps each Class C power to its minimum NautilusTier) and for tierPowerRange (which encodes the wattage bounds). It completes the MODEL structural layer of the Technological Access Path before Gap45 safety results are imported. No direct link to the T0–T8 forcing chain or Recognition Composition Law appears in the supplied fragments.
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