# std::strong_equality

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Defined in header `<compare>` |  |
class strong_equality; |  | (since C++20)

The class type `std::strong_equality` is the result type of a three-way comparison that

- admits only equality and inequality comparisons (no less-than/greater-than)

- implies substitutability: if a is equivalent to b, f(a) is also equivalent to f(b), where f denotes a function that reads only comparison-salient state that is accessible via the argument's public const members. In other words, equivalent values are indistinguishable.

### Constants

The type `std::strong_equality` has four valid values, implemented as const static data members of its type:

Member constant | Definition
equivalent(inline constexpr) [static] | a valid value of the type `std::strong_equality` indicating equality (public static member constant)
equal(inline constexpr) [static] | a valid value of the type `std::strong_equality` indicating equality (public static member constant)
nonequivalent(inline constexpr) [static] | a valid value of the type `std::strong_equality` indicating non-equality (public static member constant)
nonequal(inline constexpr) [static] | a valid value of the type `std::strong_equality` indicating non-equality (public static member constant)

### Conversions

`std::strong_equality` is implicitly-convertible to std::weak_equality, and std::strong_ordering is implicitly-convertible to strong_equality.

operator weak_equality | implicit conversion to std::weak_equality (public member function)

## std::strong_equality::operator weak_equality

constexpr operator weak_equality() const noexcept; |  |

### Return value

std::weak_equality::equivalent if `v` is `equivalent` or `equal`, std::weak_equality::nonequivalent if `v` is `nonequivalent` or `nonequal`.

### Comparisons

Comparison operators are defined between values of this type and literal ​0​. This supports the expressions a <=> b == 0 and a <=> b != 0 used to convert the result of a three-way comparison operator to a boolean relationship; see `std::is_eq` and `std::is_neq`.

The behavior of a program that attempts to compare a `strong_equality` with anything other than the integer literal ​0​ is undefined.

operator==operator!=operator<=> | compares with zero (function)

## operator==

friend constexpr bool operator==(strong_equality v, /*unspecified*/ u) noexcept; friend constexpr bool operator==(/*unspecified*/ u, strong_equality v) noexcept; |  |

### Parameters

v | - | a `std::strong_equality` value to check
u | - | an unused parameter of any type that accepts literal zero argument

### Return value

true if `v` is `equivalent` or `equal`, false if `v` is `nonequivalent` or `nonequal`

## operator!=

friend constexpr bool operator!=(strong_equality v, /*unspecified*/ u) noexcept; friend constexpr bool operator!=(/*unspecified*/ u, strong_equality v) noexcept; |  |

### Parameters

v | - | a `std::strong_equality` value to check
u | - | an unused parameter of any type that accepts literal zero argument

### Return value

false if `v` is `equivalent` or `equal`, and true if `v` is `nonequivalent` or `nonequal`

## operator<=>

friend constexpr strong_equality operator<=>(strong_equality v, /*unspecified*/ u) noexcept; friend constexpr strong_equality operator<=>(/*unspecified*/ u, strong_equality v) noexcept; |  |

### Parameters

v | - | a `std::strong_equality` value to check
u | - | an unused parameter of any type that accepts literal zero argument

### Return value

v

### Example

| This section is incomplete Reason: no example

### See also

strong_ordering (C++20) | the result type of 3-way comparison that supports all 6 operators and is substitutable (class)
weak_ordering (C++20) | the result type of 3-way comparison that supports all 6 operators and is not substitutable (class)
partial_ordering (C++20) | the result type of 3-way comparison that supports all 6 operators, is not substitutable, and allows incomparable values (class)
weak_equality (C++20) | the result type of 3-way comparison that supports only equality/inequality and is not substitutable (class)

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