std::strict_weak_order
From cppreference.com
Defined in header <concepts>


template < class R, class T, class U > concept strict_weak_order = std::relation<R, T, U>; 
(since C++20)  
The concept strict_weak_order<R, T, U>
specifies that the relation R
imposes a strict weak ordering on its arguments.
[edit] Semantic requirements
A relation r
is a strict weak ordering if
 it is irreflexive: for all
x
,r(x, x)
is false;  it is transitive: for all
a
,b
andc
, ifr(a, b)
andr(b, c)
are both true thenr(a, c)
is true;  let
e(a, b)
be!r(a, b) && !r(b, a)
, thene
is transitive:e(a, b) && e(b, c)
impliese(a, c)
.
Under these conditions, it can be shown that e
is an equivalence relation, and r
induces a strict total ordering on the equivalence classes determined by e
.
[edit] Notes
The distinction between relation and strict_weak_order
is purely semantic.