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| std::equivalence_relation(3) | C++ Standard Libary | std::equivalence_relation(3) | 
NAME¶
std::equivalence_relation - std::equivalence_relation
Synopsis¶
 Defined in header <concepts>
  
   template< class R, class T, class U > (since C++20)
  
   concept equivalence_relation = std::relation<R, T, U>;
  
   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.
| 2024.06.10 | http://cppreference.com |