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theorem proved term proof

impossible_infinite_cost

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formal statement (Lean)

 252theorem impossible_infinite_cost (x : ℝ) (hx : x ≤ 0) :
 253    ¬∃ c : Config, c.value = x := by

proof body

Term-mode proof.

 254  intro ⟨c, hc⟩
 255  have : 0 < c.value := c.pos
 256  linarith
 257
 258/-- **BOUNDARY OF POSSIBILITY**: The limit of the possible.
 259
 260    ∂P = {x : x → 0⁺} where J(x) → ∞
 261
 262    This is NOT a configuration, but a limit of configurations. -/

depends on (12)

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