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theorem proved term proof

Jcost_le_self_of_one_le

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formal statement (Lean)

  72theorem Jcost_le_self_of_one_le {x : ℝ} (hx : 1 ≤ x) : Jcost x ≤ x := by

proof body

Term-mode proof.

  73  unfold Jcost
  74  have hinv_one : x⁻¹ ≤ 1 := inv_le_one_of_one_le₀ hx
  75  have hinv_le : x⁻¹ ≤ x := le_trans hinv_one hx
  76  linarith
  77
  78/-- The explicit finite-volume recognition-cost bound on the RS lattice. -/

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