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theorem proved term proof

composite_setoid_iff

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formal statement (Lean)

  55theorem composite_setoid_iff {E₁ E₂ : Type*}
  56    (r₁ : Recognizer C E₁) (r₂ : Recognizer C E₂) (c₁ c₂ : C) :
  57    (recognizerSetoid (r₁ ⊗ r₂)).Rel c₁ c₂ ↔
  58    (recognizerSetoid r₁).Rel c₁ c₂ ∧ (recognizerSetoid r₂).Rel c₁ c₂ :=

proof body

Term-mode proof.

  59  composite_indistinguishable_iff r₁ r₂ c₁ c₂
  60
  61/-- **Refinement Left**: The composite setoid is at least as fine as r₁'s. -/

used by (4)

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depends on (9)

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