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structure definition def or abbrev

SmallWorldFromSigmaCert

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formal statement (Lean)

 105structure SmallWorldFromSigmaCert where
 106  gamma_eq_3 : gamma = 3
 107  gamma_fixed : (gamma - 1) * (gamma - 2) = 2
 108  gamma_unique : ∀ {x : ℝ}, 2 < x → (x - 1) * (x - 2) = 2 → x = gamma
 109  avgPathLength_pos : ∀ {N : ℝ}, 1 < N → 0 < avgPathLength N
 110  path_log_growth : ∀ {N M : ℝ}, 1 < N → N < M → avgPathLength N < avgPathLength M
 111  clusteringRatio_band : (0.617 : ℝ) < clusteringRatio ∧ clusteringRatio < 0.622
 112

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