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theorem proved term proof

minimum_at_one

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formal statement (Lean)

  70theorem minimum_at_one : ∀ r : ℝ, 0 < r → Jcost 1 ≤ Jcost r := by

proof body

Term-mode proof.

  71  intro r hr
  72  rw [Jcost_unit0]
  73  rcases eq_or_ne r 1 with heq | hne
  74  · rw [heq, Jcost_unit0]
  75  · exact le_of_lt (Jcost_pos_of_ne_one r hr hne)
  76

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depends on (5)

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