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Simon Spies
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65b9ce9f
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65b9ce9f
authored
Jan 03, 2017
by
Robbert Krebbers
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Document list_remove and list_remove_list.
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0a35ba52
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theories/prelude/list.v
theories/prelude/list.v
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theories/prelude/list.v
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65b9ce9f
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@@ -285,18 +285,20 @@ Inductive contains {A} : relation (list A) :=
Infix "`contains`" := contains (at level 70) : C_scope.
Hint Extern 0 (_ `contains` _) => reflexivity.
Section contains_dec_help.
Context `{EqDecision A}.
Fixpoint list_remove (x : A) (l : list A) : option (list A) :=
match l with
| [] => None
| y :: l => if decide (x = y) then Some l else (y ::) <$> list_remove x l
end.
Fixpoint list_remove_list (k : list A) (l : list A) : option (list A) :=
match k with
| [] => Some l | x :: k => list_remove x l ≫= list_remove_list k
end.
End contains_dec_help.
(** Removes [x] from the list [l]. The function returns a [Some] when the
+removal succeeds and [None] when [x] is not in [l]. *)
Fixpoint list_remove `{EqDecision A} (x : A) (l : list A) : option (list A) :=
match l with
| [] => None
| y :: l => if decide (x = y) then Some l else (y ::) <$> list_remove x l
end.
(** Removes all elements in the list [k] from the list [l]. The function returns
a [Some] when the removal succeeds and [None] some element of [k] is not in [l]. *)
Fixpoint list_remove_list `{EqDecision A} (k : list A) (l : list A) : option (list A) :=
match k with
| [] => Some l | x :: k => list_remove x l ≫= list_remove_list k
end.
Inductive Forall3 {A B C} (P : A → B → C → Prop) :
list A → list B → list C → Prop :=
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