theorem
proved
term proof
JcostN_reciprocal
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formal statement (Lean)
127theorem JcostN_reciprocal {n : ℕ} (α x : Vec n) :
128 JcostN α (hadamardInv x) = JcostN α x := by
proof body
Term-mode proof.
129 rw [JcostN_eq_cosh_logsum, JcostN_eq_cosh_logsum]
130 rw [dot_log_hadamardInv, Real.cosh_neg]
131
132/-- Zero-cost characterization in log coordinates. -/