inductive
definition
def or abbrev
Power
show as:
view Lean formalization →
formal statement (Lean)
51inductive Power where
52 -- Class A: Direct RS Mechanism
53 | telepathy
54 | precognition
55 | empathy
56 | healing
57 | immortality
58 | astralProjection
59 -- Class B: Derivable from RS
60 | superIntelligence
61 | enhancedSenses
62 | soundControl
63 | animalCommunication
64 | mindInfluence
65 | collectivePower
66 -- Class C: Nautilus-Class Technology
67 | flight
68 | invulnerability
69 | superStrength
70 | forceFields
71 | energyProjection
72 | transmutation
73 -- Class D: Speculative but Consistent
74 | timePerception
75 | superSpeed
76 | invisibility
77 | elementalControl
78 | sizeManipulation
79 -- Class E: Constrained or Forbidden
80 | duplication
81 | realityWarping
82 | creationExNihilo
83 | absoluteInvulnerability
84 deriving DecidableEq, Repr
85
86/-- Classification function: assigns each power to its epistemic class. -/
used by (31)
-
curvature_matches_alpha_derivation -
fluctuations_from_jcost -
PowerSpectrum -
tensor_to_scalar_upper_bound -
two_cube_pair_64 -
SelfSustaining -
cosh_quadratic_bound -
tau_pred_eq -
fundamentalZFCount -
smallWorldFromSigmaCert -
prime_counting_explicit_bound -
summand_decomposition -
universalCost_pos -
smulPos_contains_smul -
Jcost_mono_on_Ici_one -
predicted_residue_tau_bounds -
stationarity_iff_gamma_zero -
second_law_classical -
predicted_residue_tau_bounds -
accessible_count_eq_23 -
allPowers -
constrained_count_eq_4 -
constrained_has_reason -
constraintReason -
powerClass -
PowerClass -
sigma_zero_optimal -
classC_has_tier -
NautilusTier -
requiredTier