std:: equivalence_relation

The concept equivalence_relation<R, T, U> specifies that the relation R imposes an equivalence relation on its arguments.

Semantic requirements

A relation r is an equivalence relation if

• it is reflexive: for all x , r(x, x) is true ;
• it is symmetric: for all a and b , r(a, b) is true if and only if r(b, a) is true ;
• it is transitive: r(a, b) && r(b, c) implies r(a, c) .

Notes

The distinction between relation and equivalence_relation is purely semantic.

References