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theorem proved term proof

metaCost_symm

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formal statement (Lean)

  86theorem metaCost_symm (R S : MetaCarrier) : metaCost R S = metaCost S R := by

proof body

Term-mode proof.

  87  unfold metaCost
  88  by_cases h : R = S
  89  · subst h; rfl
  90  · have hSR : ¬ S = R := fun h' => h h'.symm
  91    simp [h, hSR]
  92
  93/-- **(L3a) Totality** for the meta-cost: defined on every pair of
  94realizations, returns a value (the function type signature). -/

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