fixed error in Lists
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@ -354,29 +354,6 @@ reverse of the second appended to the reverse of the first:
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reverse (xs ++ ys) ≡ reverse ys ++ reverse xs
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```
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reverse-++-distrib : ∀ xs ys → reverse (xs ++ ys) ≡ reverse ys ++ reverse xs
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reverse-++-distrib [] ys =
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begin
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reverse ([] ++ ys)
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≡⟨⟩
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reverse ys
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≡⟨ sym (++-identityʳ (reverse ys)) ⟩
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reverse ys ++ reverse []
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∎
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reverse-++-distrib (x ∷ xs) ys =
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begin
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reverse ((x ∷ xs) ++ ys)
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≡⟨⟩
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reverse (xs ++ ys) ++ [ x ]
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≡⟨ cong (_++ [ x ]) (reverse-++-distrib xs ys) ⟩
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(reverse ys ++ reverse xs) ++ [ x ]
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≡⟨ ++-assoc (reverse ys) (reverse xs) [ x ] ⟩
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reverse ys ++ (reverse xs ++ [ x ])
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∎
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```
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#### Exercise `reverse-involutive` (recommended)
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A function is an _involution_ if when applied twice it acts
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