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theorem proved term proof

compose_assoc

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formal statement (Lean)

  55theorem compose_assoc (a b c : FrequencyRatio) :
  56    strictMusicRealization.compose (strictMusicRealization.compose a b) c =
  57    strictMusicRealization.compose a (strictMusicRealization.compose b c) := by

proof body

Term-mode proof.

  58  show (⟨a.1 * b.1 * c.1, _⟩ : FrequencyRatio) = ⟨a.1 * (b.1 * c.1), _⟩
  59  apply Subtype.ext
  60  ring
  61

used by (3)

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depends on (3)

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