17 lines
454 B
Text
17 lines
454 B
Text
import data.list
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open list
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set_option pp.implicit true
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definition append : Π {A : Type}, list A → list A → list A
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| append nil l := l
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| append (h :: t) l := h :: (append t l)
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theorem append_nil {A : Type} (l : list A) : append nil l = l :=
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rfl
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theorem append_cons {A : Type} (h : A) (t l : list A) : append (h :: t) l = h :: (append t l) :=
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rfl
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example : append (1 :: 2 :: nil) (3 :: 4 :: 5 :: nil) = (1 :: 2 :: 3 :: 4 :: 5 :: nil) :=
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rfl
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