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theorem proved term proof

quotientMapLeft_surjective

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formal statement (Lean)

 126theorem quotientMapLeft_surjective (r₁ : Recognizer C E₁) (r₂ : Recognizer C E₂) :
 127    Function.Surjective (quotientMapLeft r₁ r₂) := by

proof body

Term-mode proof.

 128  intro q
 129  obtain ⟨c, rfl⟩ := Quotient.exists_rep q
 130  use recognitionQuotientMk (r₁ ⊗ r₂) c
 131  rfl
 132

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