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def definition def or abbrev

quotientMapLeft

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formal statement (Lean)

 114def quotientMapLeft (r₁ : Recognizer C E₁) (r₂ : Recognizer C E₂) :
 115    RecognitionQuotient (r₁ ⊗ r₂) → RecognitionQuotient r₁ :=

proof body

Definition body.

 116  Quotient.lift (recognitionQuotientMk r₁) (fun c₁ c₂ h =>
 117    (quotientMk_eq_iff r₁).mpr (composite_refines_left r₁ r₂ h))
 118
 119/-- There is a natural map from the composite quotient to the r₂ quotient -/

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