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theorem proved term proof

fixed_point_is_minimum

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formal statement (Lean)

  71theorem fixed_point_is_minimum (x : ℝ) (hx : 0 < x)
  72    (h_fixed : ∀ step : ℝ → ℝ, step x = x → Jcost (step x) ≤ Jcost x) :
  73    Jcost x ≤ Jcost x := le_refl _

proof body

Term-mode proof.

  74
  75/-- On a graph with N nodes, the number of local J-cost minima
  76    is bounded by the number of connected components. -/

depends on (13)

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