Trait std::cmp::PartialEq

1.0.0 · source ·
pub trait PartialEq<Rhs = Self>
where Rhs: ?Sized,
{ // Required method fn eq(&self, other: &Rhs) -> bool; // Provided method fn ne(&self, other: &Rhs) -> bool { ... } }
Expand description

Trait for comparisons using the equality operator.

Implementing this trait for types provides the == and != operators for those types.

x.eq(y) can also be written x == y, and x.ne(y) can be written x != y. We use the easier-to-read infix notation in the remainder of this documentation.

This trait allows for comparisons using the equality operator, for types that do not have a full equivalence relation. For example, in floating point numbers NaN != NaN, so floating point types implement PartialEq but not Eq. Formally speaking, when Rhs == Self, this trait corresponds to a partial equivalence relation.

Implementations must ensure that eq and ne are consistent with each other:

  • a != b if and only if !(a == b).

The default implementation of ne provides this consistency and is almost always sufficient. It should not be overridden without very good reason.

If PartialOrd or Ord are also implemented for Self and Rhs, their methods must also be consistent with PartialEq (see the documentation of those traits for the exact requirements). It’s easy to accidentally make them disagree by deriving some of the traits and manually implementing others.

The equality relation == must satisfy the following conditions (for all a, b, c of type A, B, C):

  • Symmetric: if A: PartialEq<B> and B: PartialEq<A>, then a == b implies b == a; and

  • Transitive: if A: PartialEq<B> and B: PartialEq<C> and A: PartialEq<C>, then a == b and b == c implies a == c.

Note that the B: PartialEq<A> (symmetric) and A: PartialEq<C> (transitive) impls are not forced to exist, but these requirements apply whenever they do exist.

Violating these requirements is a logic error. The behavior resulting from a logic error is not specified, but users of the trait must ensure that such logic errors do not result in undefined behavior. This means that unsafe code must not rely on the correctness of these methods.

Derivable

This trait can be used with #[derive]. When derived on structs, two instances are equal if all fields are equal, and not equal if any fields are not equal. When derived on enums, two instances are equal if they are the same variant and all fields are equal.

How can I implement PartialEq?

An example implementation for a domain in which two books are considered the same book if their ISBN matches, even if the formats differ:

enum BookFormat {
    Paperback,
    Hardback,
    Ebook,
}

struct Book {
    isbn: i32,
    format: BookFormat,
}

impl PartialEq for Book {
    fn eq(&self, other: &Self) -> bool {
        self.isbn == other.isbn
    }
}

let b1 = Book { isbn: 3, format: BookFormat::Paperback };
let b2 = Book { isbn: 3, format: BookFormat::Ebook };
let b3 = Book { isbn: 10, format: BookFormat::Paperback };

assert!(b1 == b2);
assert!(b1 != b3);
Run

How can I compare two different types?

The type you can compare with is controlled by PartialEq’s type parameter. For example, let’s tweak our previous code a bit:

// The derive implements <BookFormat> == <BookFormat> comparisons
#[derive(PartialEq)]
enum BookFormat {
    Paperback,
    Hardback,
    Ebook,
}

struct Book {
    isbn: i32,
    format: BookFormat,
}

// Implement <Book> == <BookFormat> comparisons
impl PartialEq<BookFormat> for Book {
    fn eq(&self, other: &BookFormat) -> bool {
        self.format == *other
    }
}

// Implement <BookFormat> == <Book> comparisons
impl PartialEq<Book> for BookFormat {
    fn eq(&self, other: &Book) -> bool {
        *self == other.format
    }
}

let b1 = Book { isbn: 3, format: BookFormat::Paperback };

assert!(b1 == BookFormat::Paperback);
assert!(BookFormat::Ebook != b1);
Run

By changing impl PartialEq for Book to impl PartialEq<BookFormat> for Book, we allow BookFormats to be compared with Books.

A comparison like the one above, which ignores some fields of the struct, can be dangerous. It can easily lead to an unintended violation of the requirements for a partial equivalence relation. For example, if we kept the above implementation of PartialEq<Book> for BookFormat and added an implementation of PartialEq<Book> for Book (either via a #[derive] or via the manual implementation from the first example) then the result would violate transitivity:

#[derive(PartialEq)]
enum BookFormat {
    Paperback,
    Hardback,
    Ebook,
}

#[derive(PartialEq)]
struct Book {
    isbn: i32,
    format: BookFormat,
}

impl PartialEq<BookFormat> for Book {
    fn eq(&self, other: &BookFormat) -> bool {
        self.format == *other
    }
}

impl PartialEq<Book> for BookFormat {
    fn eq(&self, other: &Book) -> bool {
        *self == other.format
    }
}

fn main() {
    let b1 = Book { isbn: 1, format: BookFormat::Paperback };
    let b2 = Book { isbn: 2, format: BookFormat::Paperback };

    assert!(b1 == BookFormat::Paperback);
    assert!(BookFormat::Paperback == b2);

    // The following should hold by transitivity but doesn't.
    assert!(b1 == b2); // <-- PANICS
}
Run

Examples

let x: u32 = 0;
let y: u32 = 1;

assert_eq!(x == y, false);
assert_eq!(x.eq(&y), false);
Run

Required Methods§

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fn eq(&self, other: &Rhs) -> bool

This method tests for self and other values to be equal, and is used by ==.

Provided Methods§

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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

Implementors§

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impl PartialEq for AsciiChar

1.65.0 · source§

impl PartialEq for BacktraceStatus

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impl PartialEq for TryReserveErrorKind

1.34.0 · source§

impl PartialEq for Infallible

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impl PartialEq for VarError

1.28.0 · source§

impl PartialEq for std::fmt::Alignment

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impl PartialEq for ErrorKind

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impl PartialEq for SeekFrom

1.7.0 · source§

impl PartialEq for IpAddr

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impl PartialEq for Ipv6MulticastScope

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impl PartialEq for Shutdown

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impl PartialEq for SocketAddr

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impl PartialEq for FpCategory

1.55.0 · source§

impl PartialEq for IntErrorKind

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impl PartialEq for BacktraceStyle

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impl PartialEq for SearchStep

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impl PartialEq for std::sync::atomic::Ordering

1.12.0 · source§

impl PartialEq for RecvTimeoutError

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impl PartialEq for TryRecvError

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impl PartialEq for std::cmp::Ordering

const: unstable · source§

impl PartialEq for bool

const: unstable · source§

impl PartialEq for char

const: unstable · source§

impl PartialEq for f32

const: unstable · source§

impl PartialEq for f64

const: unstable · source§

impl PartialEq for i8

const: unstable · source§

impl PartialEq for i16

const: unstable · source§

impl PartialEq for i32

const: unstable · source§

impl PartialEq for i64

const: unstable · source§

impl PartialEq for i128

const: unstable · source§

impl PartialEq for isize

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impl PartialEq for !

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impl PartialEq for str

const: unstable · source§

impl PartialEq for u8

const: unstable · source§

impl PartialEq for u16

const: unstable · source§

impl PartialEq for u32

const: unstable · source§

impl PartialEq for u64

const: unstable · source§

impl PartialEq for u128

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impl PartialEq for ()

const: unstable · source§

impl PartialEq for usize

1.27.0 · source§

impl PartialEq for CpuidResult

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impl PartialEq for AllocError

1.28.0 · source§

impl PartialEq for Layout

1.50.0 · source§

impl PartialEq for LayoutError

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impl PartialEq for TypeId

1.34.0 · source§

impl PartialEq for CharTryFromError

1.9.0 · source§

impl PartialEq for DecodeUtf16Error

1.20.0 · source§

impl PartialEq for ParseCharError

1.59.0 · source§

impl PartialEq for TryFromCharError

1.57.0 · source§

impl PartialEq for TryReserveError

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impl PartialEq for CStr

1.64.0 · source§

impl PartialEq for CString

1.69.0 · source§

impl PartialEq for FromBytesUntilNulError

1.64.0 · source§

impl PartialEq for FromBytesWithNulError

1.64.0 · source§

impl PartialEq for FromVecWithNulError

1.64.0 · source§

impl PartialEq for IntoStringError

1.64.0 · source§

impl PartialEq for NulError

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impl PartialEq for OsStr

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impl PartialEq for OsString

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impl PartialEq for Error

1.1.0 · source§

impl PartialEq for FileType

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impl PartialEq for Permissions

1.33.0 · source§

impl PartialEq for PhantomPinned

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impl PartialEq for Assume

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impl PartialEq for AddrParseError

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impl PartialEq for Ipv4Addr

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impl PartialEq for Ipv6Addr

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impl PartialEq for SocketAddrV4

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impl PartialEq for SocketAddrV6

1.34.0 · source§

impl PartialEq for NonZeroI8

1.34.0 · source§

impl PartialEq for NonZeroI16

1.34.0 · source§

impl PartialEq for NonZeroI32

1.34.0 · source§

impl PartialEq for NonZeroI64

1.34.0 · source§

impl PartialEq for NonZeroI128

1.34.0 · source§

impl PartialEq for NonZeroIsize

1.28.0 · source§

impl PartialEq for NonZeroU8

1.28.0 · source§

impl PartialEq for NonZeroU16

1.28.0 · source§

impl PartialEq for NonZeroU32

1.28.0 · source§

impl PartialEq for NonZeroU64

1.28.0 · source§

impl PartialEq for NonZeroU128

1.28.0 · source§

impl PartialEq for NonZeroUsize

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impl PartialEq for ParseFloatError

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impl PartialEq for ParseIntError

1.34.0 · source§

impl PartialEq for TryFromIntError

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impl PartialEq for RangeFull

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impl PartialEq for UCred

Available on Unix only.
1.63.0 · source§

impl PartialEq for InvalidHandleError

Available on Windows only.
1.63.0 · source§

impl PartialEq for NullHandleError

Available on Windows only.
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impl PartialEq for Path

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impl PartialEq for PathBuf

1.7.0 · source§

impl PartialEq for StripPrefixError

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impl PartialEq for ExitStatus

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impl PartialEq for ExitStatusError

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impl PartialEq for Output

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impl PartialEq for std::ptr::Alignment

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impl PartialEq for ParseBoolError

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impl PartialEq for Utf8Error

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impl PartialEq for FromUtf8Error

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impl PartialEq for String

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impl PartialEq for RecvError

1.5.0 · source§

impl PartialEq for WaitTimeoutResult

1.36.0 · source§

impl PartialEq for RawWaker

1.36.0 · source§

impl PartialEq for RawWakerVTable

1.26.0 · source§

impl PartialEq for AccessError

1.19.0 · source§

impl PartialEq for ThreadId

1.3.0 · source§

impl PartialEq for Duration

1.8.0 · source§

impl PartialEq for Instant

1.8.0 · source§

impl PartialEq for SystemTime

1.66.0 · source§

impl PartialEq for TryFromFloatSecsError

1.29.0 · source§

impl PartialEq<&str> for OsString

1.16.0 · source§

impl PartialEq<IpAddr> for Ipv4Addr

1.16.0 · source§

impl PartialEq<IpAddr> for Ipv6Addr

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impl PartialEq<str> for OsStr

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impl PartialEq<str> for OsString

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impl PartialEq<OsStr> for str

1.8.0 · source§

impl PartialEq<OsStr> for Path

1.8.0 · source§

impl PartialEq<OsStr> for PathBuf

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impl PartialEq<OsString> for str

1.8.0 · source§

impl PartialEq<OsString> for Path

1.8.0 · source§

impl PartialEq<OsString> for PathBuf

1.16.0 · source§

impl PartialEq<Ipv4Addr> for IpAddr

1.16.0 · source§

impl PartialEq<Ipv6Addr> for IpAddr

1.8.0 · source§

impl PartialEq<Path> for OsStr

1.8.0 · source§

impl PartialEq<Path> for OsString

1.6.0 · source§

impl PartialEq<Path> for PathBuf

1.8.0 · source§

impl PartialEq<PathBuf> for OsStr

1.8.0 · source§

impl PartialEq<PathBuf> for OsString

1.6.0 · source§

impl PartialEq<PathBuf> for Path

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impl<'a> PartialEq for Component<'a>

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impl<'a> PartialEq for Prefix<'a>

1.10.0 · source§

impl<'a> PartialEq for Location<'a>

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impl<'a> PartialEq for Components<'a>

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impl<'a> PartialEq for PrefixComponent<'a>

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impl<'a> PartialEq for Utf8Chunk<'a>

1.8.0 · source§

impl<'a> PartialEq<&'a OsStr> for Path

1.8.0 · source§

impl<'a> PartialEq<&'a OsStr> for PathBuf

1.8.0 · source§

impl<'a> PartialEq<&'a Path> for OsStr

1.8.0 · source§

impl<'a> PartialEq<&'a Path> for OsString

1.6.0 · source§

impl<'a> PartialEq<&'a Path> for PathBuf

1.8.0 · source§

impl<'a> PartialEq<Cow<'a, OsStr>> for Path

1.8.0 · source§

impl<'a> PartialEq<Cow<'a, OsStr>> for PathBuf

1.8.0 · source§

impl<'a> PartialEq<Cow<'a, Path>> for OsStr

1.8.0 · source§

impl<'a> PartialEq<Cow<'a, Path>> for OsString

1.6.0 · source§

impl<'a> PartialEq<Cow<'a, Path>> for Path

1.6.0 · source§

impl<'a> PartialEq<Cow<'a, Path>> for PathBuf

1.8.0 · source§

impl<'a> PartialEq<OsStr> for &'a Path

1.8.0 · source§

impl<'a> PartialEq<OsStr> for Cow<'a, Path>

1.29.0 · source§

impl<'a> PartialEq<OsString> for &'a str

1.8.0 · source§

impl<'a> PartialEq<OsString> for &'a Path

1.8.0 · source§

impl<'a> PartialEq<OsString> for Cow<'a, Path>

1.8.0 · source§

impl<'a> PartialEq<Path> for &'a OsStr

1.8.0 · source§

impl<'a> PartialEq<Path> for Cow<'a, OsStr>

1.6.0 · source§

impl<'a> PartialEq<Path> for Cow<'a, Path>

1.8.0 · source§

impl<'a> PartialEq<PathBuf> for &'a OsStr

1.6.0 · source§

impl<'a> PartialEq<PathBuf> for &'a Path

1.8.0 · source§

impl<'a> PartialEq<PathBuf> for Cow<'a, OsStr>

1.6.0 · source§

impl<'a> PartialEq<PathBuf> for Cow<'a, Path>

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impl<'a, 'b> PartialEq<&'a str> for String

1.8.0 · source§

impl<'a, 'b> PartialEq<&'a OsStr> for OsString

1.8.0 · source§

impl<'a, 'b> PartialEq<&'a Path> for Cow<'b, OsStr>

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impl<'a, 'b> PartialEq<&'b str> for Cow<'a, str>

1.8.0 · source§

impl<'a, 'b> PartialEq<&'b OsStr> for Cow<'a, OsStr>

1.8.0 · source§

impl<'a, 'b> PartialEq<&'b OsStr> for Cow<'a, Path>

1.6.0 · source§

impl<'a, 'b> PartialEq<&'b Path> for Cow<'a, Path>

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impl<'a, 'b> PartialEq<Cow<'a, str>> for &'b str

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impl<'a, 'b> PartialEq<Cow<'a, str>> for str

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impl<'a, 'b> PartialEq<Cow<'a, str>> for String

1.8.0 · source§

impl<'a, 'b> PartialEq<Cow<'a, OsStr>> for &'b OsStr

1.8.0 · source§

impl<'a, 'b> PartialEq<Cow<'a, OsStr>> for OsStr

1.8.0 · source§

impl<'a, 'b> PartialEq<Cow<'a, OsStr>> for OsString

1.8.0 · source§

impl<'a, 'b> PartialEq<Cow<'a, Path>> for &'b OsStr

1.6.0 · source§

impl<'a, 'b> PartialEq<Cow<'a, Path>> for &'b Path

1.8.0 · source§

impl<'a, 'b> PartialEq<Cow<'b, OsStr>> for &'a Path

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impl<'a, 'b> PartialEq<str> for Cow<'a, str>

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impl<'a, 'b> PartialEq<str> for String

1.8.0 · source§

impl<'a, 'b> PartialEq<OsStr> for Cow<'a, OsStr>

1.8.0 · source§

impl<'a, 'b> PartialEq<OsStr> for OsString

1.8.0 · source§

impl<'a, 'b> PartialEq<OsString> for &'a OsStr

1.8.0 · source§

impl<'a, 'b> PartialEq<OsString> for Cow<'a, OsStr>

1.8.0 · source§

impl<'a, 'b> PartialEq<OsString> for OsStr

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impl<'a, 'b> PartialEq<String> for &'a str

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impl<'a, 'b> PartialEq<String> for Cow<'a, str>

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impl<'a, 'b> PartialEq<String> for str

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impl<'a, 'b, B, C> PartialEq<Cow<'b, C>> for Cow<'a, B>
where B: PartialEq<C> + ToOwned + ?Sized, C: ToOwned + ?Sized,

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impl<A, B> PartialEq<&B> for &A
where A: PartialEq<B> + ?Sized, B: ?Sized,

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impl<A, B> PartialEq<&B> for &mut A
where A: PartialEq<B> + ?Sized, B: ?Sized,

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impl<A, B> PartialEq<&mut B> for &A
where A: PartialEq<B> + ?Sized, B: ?Sized,

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impl<A, B> PartialEq<&mut B> for &mut A
where A: PartialEq<B> + ?Sized, B: ?Sized,

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impl<A, B> PartialEq<[B]> for [A]
where A: PartialEq<B>,

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impl<A, B, const N: usize> PartialEq<&[B]> for [A; N]
where A: PartialEq<B>,

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impl<A, B, const N: usize> PartialEq<&mut [B]> for [A; N]
where A: PartialEq<B>,

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impl<A, B, const N: usize> PartialEq<[A; N]> for &[B]
where B: PartialEq<A>,

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impl<A, B, const N: usize> PartialEq<[A; N]> for &mut [B]
where B: PartialEq<A>,

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impl<A, B, const N: usize> PartialEq<[A; N]> for [B]
where B: PartialEq<A>,

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impl<A, B, const N: usize> PartialEq<[B; N]> for [A; N]
where A: PartialEq<B>,

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impl<A, B, const N: usize> PartialEq<[B]> for [A; N]
where A: PartialEq<B>,

1.55.0 · source§

impl<B, C> PartialEq for ControlFlow<B, C>
where B: PartialEq, C: PartialEq,

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impl<Dyn> PartialEq for DynMetadata<Dyn>
where Dyn: ?Sized,

1.4.0 · source§

impl<F> PartialEq for F
where F: FnPtr,

1.29.0 · source§

impl<H> PartialEq for BuildHasherDefault<H>

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impl<Idx> PartialEq for Range<Idx>
where Idx: PartialEq,

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impl<Idx> PartialEq for RangeFrom<Idx>
where Idx: PartialEq,

1.26.0 · source§

impl<Idx> PartialEq for RangeInclusive<Idx>
where Idx: PartialEq,

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impl<Idx> PartialEq for RangeTo<Idx>
where Idx: PartialEq,

1.26.0 · source§

impl<Idx> PartialEq for RangeToInclusive<Idx>
where Idx: PartialEq,

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impl<K, V, A> PartialEq for BTreeMap<K, V, A>
where K: PartialEq, V: PartialEq, A: Allocator + Clone,

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impl<K, V, S> PartialEq for HashMap<K, V, S>
where K: Eq + Hash, V: PartialEq, S: BuildHasher,

1.41.0 · source§

impl<P, Q> PartialEq<Pin<Q>> for Pin<P>
where P: Deref, Q: Deref, <P as Deref>::Target: PartialEq<<Q as Deref>::Target>,

1.17.0 · source§

impl<T> PartialEq for Bound<T>
where T: PartialEq,

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impl<T> PartialEq for Option<T>
where T: PartialEq,

1.36.0 · source§

impl<T> PartialEq for Poll<T>
where T: PartialEq,

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impl<T> PartialEq for *const T
where T: ?Sized,

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impl<T> PartialEq for *mut T
where T: ?Sized,

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impl<T> PartialEq for (T₁, T₂, …, Tₙ)
where T: PartialEq + ?Sized,

This trait is implemented for tuples up to twelve items long.

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impl<T> PartialEq for Cell<T>
where T: PartialEq + Copy,

1.70.0 · source§

impl<T> PartialEq for OnceCell<T>
where T: PartialEq,

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impl<T> PartialEq for RefCell<T>
where T: PartialEq + ?Sized,

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impl<T> PartialEq for PhantomData<T>
where T: ?Sized,

1.21.0 · source§

impl<T> PartialEq for Discriminant<T>

1.20.0 · source§

impl<T> PartialEq for ManuallyDrop<T>
where T: PartialEq + ?Sized,

1.74.0 · source§

impl<T> PartialEq for Saturating<T>
where T: PartialEq,

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impl<T> PartialEq for Wrapping<T>
where T: PartialEq,

1.25.0 · source§

impl<T> PartialEq for NonNull<T>
where T: ?Sized,

1.19.0 · source§

impl<T> PartialEq for Reverse<T>
where T: PartialEq,

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impl<T, A> PartialEq for Box<T, A>
where T: PartialEq + ?Sized, A: Allocator,

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impl<T, A> PartialEq for BTreeSet<T, A>
where T: PartialEq, A: Allocator + Clone,

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impl<T, A> PartialEq for LinkedList<T, A>
where T: PartialEq, A: Allocator,

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impl<T, A> PartialEq for VecDeque<T, A>
where T: PartialEq, A: Allocator,

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impl<T, A> PartialEq for Rc<T, A>
where T: PartialEq + ?Sized, A: Allocator,

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impl<T, A> PartialEq for Arc<T, A>
where T: PartialEq + ?Sized, A: Allocator,

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impl<T, E> PartialEq for Result<T, E>
where T: PartialEq, E: PartialEq,

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impl<T, S> PartialEq for HashSet<T, S>
where T: Eq + Hash, S: BuildHasher,

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impl<T, U> PartialEq<&[U]> for Cow<'_, [T]>
where T: PartialEq<U> + Clone,

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impl<T, U> PartialEq<&mut [U]> for Cow<'_, [T]>
where T: PartialEq<U> + Clone,

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impl<T, U, A1, A2> PartialEq<Vec<U, A2>> for Vec<T, A1>
where A1: Allocator, A2: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A> PartialEq<&[U]> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

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impl<T, U, A> PartialEq<&[U]> for Vec<T, A>
where A: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A> PartialEq<&mut [U]> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

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impl<T, U, A> PartialEq<&mut [U]> for Vec<T, A>
where A: Allocator, T: PartialEq<U>,

1.48.0 · source§

impl<T, U, A> PartialEq<[U]> for Vec<T, A>
where A: Allocator, T: PartialEq<U>,

1.46.0 · source§

impl<T, U, A> PartialEq<Vec<U, A>> for &[T]
where A: Allocator, T: PartialEq<U>,

1.46.0 · source§

impl<T, U, A> PartialEq<Vec<U, A>> for &mut [T]
where A: Allocator, T: PartialEq<U>,

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impl<T, U, A> PartialEq<Vec<U, A>> for Cow<'_, [T]>
where A: Allocator, T: PartialEq<U> + Clone,

1.48.0 · source§

impl<T, U, A> PartialEq<Vec<U, A>> for [T]
where A: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A> PartialEq<Vec<U, A>> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A, const N: usize> PartialEq<&[U; N]> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

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impl<T, U, A, const N: usize> PartialEq<&[U; N]> for Vec<T, A>
where A: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A, const N: usize> PartialEq<&mut [U; N]> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

1.17.0 · source§

impl<T, U, A, const N: usize> PartialEq<[U; N]> for VecDeque<T, A>
where A: Allocator, T: PartialEq<U>,

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impl<T, U, A, const N: usize> PartialEq<[U; N]> for Vec<T, A>
where A: Allocator, T: PartialEq<U>,

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impl<T, const N: usize> PartialEq for Mask<T, N>

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impl<T, const N: usize> PartialEq for Simd<T, N>

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impl<T: PartialEq> PartialEq for TrySendError<T>

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impl<T: PartialEq> PartialEq for Cursor<T>

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impl<T: PartialEq> PartialEq for SendError<T>

1.70.0 · source§

impl<T: PartialEq> PartialEq for OnceLock<T>

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impl<Y, R> PartialEq for CoroutineState<Y, R>
where Y: PartialEq, R: PartialEq,