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theorem proved term proof

trans

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formal statement (Lean)

  65theorem trans {C₁ : DisplayChannel State Obs₁}
  66    {C₂ : DisplayChannel State Obs₂}
  67    {C₃ : DisplayChannel State Obs₃}
  68    (h₁₂ : QualityEquiv C₁ C₂) (h₂₃ : QualityEquiv C₂ C₃) : QualityEquiv C₁ C₃ :=

proof body

Term-mode proof.

  69  fun x y => (h₁₂ x y).trans (h₂₃ x y)
  70
  71/-- Quality-equivalent channels have the same optimal states. -/

depends on (4)

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