feat(library/init/quot): add exists_rep theorem for quotients
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@ -36,6 +36,9 @@ namespace quot
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protected theorem induction_on {A : Type} [s : setoid A] {B : quot s → Prop} (q : quot s) (H : ∀ a, B ⟦a⟧) : B q :=
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ind H q
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theorem exists_rep {A : Type} [s : setoid A] (q : quot s) : ∃ a : A, ⟦a⟧ = q :=
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quot.induction_on q (λ a, exists.intro a rfl)
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section
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variable {A : Type}
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variable [s : setoid A]
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