11 Classes [class]

11.10 Comparisons [class.compare]

11.10.1 Defaulted comparison operator functions [class.compare.default]

A defaulted comparison operator function ([over.binary]) for some class C shall be a non-template function that is
  • a non-static member or friend of C and
  • either has two parameters of type const C& or two parameters of type C, where the implicit object parameter (if any) is considered to be the first parameter.
Name lookups in the implicit definition ([dcl.fct.def.default]) of a comparison operator function are performed from a context equivalent to its function-body.
A definition of a comparison operator as defaulted that appears in a class shall be the first declaration of that function.
A defaulted <=> or == operator function for class C is defined as deleted if any non-static data member of C is of reference type or C has variant members ([class.union.anon]).
A binary operator expression a @ b is usable if either
  • a or b is of class or enumeration type and overload resolution ([over.match]) as applied to a @ b results in a usable candidate, or
  • neither a nor b is of class or enumeration type and a @ b is a valid expression.
If the member-specification does not explicitly declare any member or friend named operator==, an == operator function is declared implicitly for each three-way comparison operator function defined as defaulted in the member-specification, with the same access and function-definition and in the same class scope as the respective three-way comparison operator function, except that the return type is replaced with bool and the declarator-id is replaced with operator==.
[Note 1: 
Such an implicitly-declared == operator for a class X is defined as defaulted in the definition of X and has the same parameter-declaration-clause and trailing requires-clause as the respective three-way comparison operator.
It is declared with friend, virtual, constexpr, or consteval if the three-way comparison operator function is so declared.
If the three-way comparison operator function has no noexcept-specifier, the implicitly-declared == operator function has an implicit exception specification ([except.spec]) that can differ from the implicit exception specification of the three-way comparison operator function.
— end note]
[Example 1: template<typename T> struct X { friend constexpr std::partial_ordering operator<=>(X, X) requires (sizeof(T) != 1) = default; // implicitly declares: friend constexpr bool operator==(X, X) requires (sizeof(T) != 1) = default; [[nodiscard]] virtual std::strong_ordering operator<=>(const X&) const = default; // implicitly declares: [[nodiscard]] virtual bool operator==(const X&) const = default; }; — end example]
[Note 2: 
The == operator function is declared implicitly even if the defaulted three-way comparison operator function is defined as deleted.
— end note]
The direct base class subobjects of C, in the order of their declaration in the base-specifier-list of C, followed by the non-static data members of C, in the order of their declaration in the member-specification of C, form a list of subobjects.
In that list, any subobject of array type is recursively expanded to the sequence of its elements, in the order of increasing subscript.
Let be an lvalue denoting the element in the expanded list of subobjects for an object x (of length n), where is formed by a sequence of derived-to-base conversions ([over.best.ics]), class member access expressions ([expr.ref]), and array subscript expressions ([expr.sub]) applied to x.