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theorem proved term proof

jcost_cosh_is_gamma_minus_one

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formal statement (Lean)

  50theorem jcost_cosh_is_gamma_minus_one (theta : ℝ) :
  51    Jcost (Real.cosh theta) = Real.cosh theta - 1 := by

proof body

Term-mode proof.

  52  unfold Jcost
  53  have h_cosh_pos : 0 < Real.cosh theta := Real.cosh_pos theta
  54  rw [Real.cosh_inv (Real.cosh theta) h_cosh_pos.ne']
  55  ring
  56
  57/-- Mass-energy: m·c² on the φ-ladder at rung r. -/

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