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Set

Struct Set 

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pub struct Set<A> { /* private fields */ }
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Set<A> is a finite set type for specifications.

An object set: Set<A> is a subset of the set of all values a: A. Equivalently, it can be thought of as a boolean predicate on A.

Sets can be constructed in a few different ways:

  • [Set::empty] gives an empty set
  • [Set::new] constructs a set from a boolean predicate
  • The set! macro, to construct small sets of a fixed size
  • By manipulating an existing sequence with [Set::union], [Set::intersect], [Set::difference], [Set::complement], [Set::filter], [Set::insert], or [Set::remove].

To prove that two sequences are equal, it is usually easiest to use the extensionality operator =~=.

Set only holds finite sets, so it can be used in recursive types. For instance, a type T can contain a Set<T>.

Auto Trait Implementations§

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impl<A> Freeze for Set<A>
where PhantomData<A>: Freeze,

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impl<A> RefUnwindSafe for Set<A>

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impl<A> Send for Set<A>
where PhantomData<A>: Send,

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impl<A> Sync for Set<A>
where PhantomData<A>: Sync,

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impl<A> Unpin for Set<A>
where PhantomData<A>: Unpin,

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impl<A> UnsafeUnpin for Set<A>

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impl<A> UnwindSafe for Set<A>

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = !

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, !>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.