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def definition def or abbrev

synapse_cost

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formal statement (Lean)

 183noncomputable def synapse_cost (f_u f_v : ℝ) : ℝ :=

proof body

Definition body.

 184  Jcost (f_u / f_v)
 185
 186/-- **KEY LEMMA**: J-cost is strictly increasing on (1, ∞).
 187    For r > 1, J(r) > J(1) = 0. Combined with J(r) = J(1/r),
 188    this means any deviation from r = 1 increases cost.
 189
 190    This is the mathematical content of Hebb's rule: correlated firing (r ≈ 1)
 191    has minimal cost; uncorrelated firing (r ≠ 1) has positive cost. -/

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