std::equivalence_relation(3)

🌟 std::equivalence_relation(3) 🌟

okay bestie, welcome to the std::equivalence_relation page from the C++ Standard Libary manual — yes, that’s the manual name and we’re keeping it exactly 💅

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💖 NAME 💖

std::equivalence_relation — std::equivalence_relation

yes, the name is the name, no cap 😭 iconic behavior honestly 🎀

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🦋 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. periodt 💫

🧠 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).

like yes, those three little rules are doing the whole job and they ate 🔥

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🎀 Notes 🎀

The distinction between relation and equivalence_relation is purely semantic.

that’s the note, bestie — purely semantic, no extra drama in the wording 🫶✨

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source: http://cppreference.com · version/date: 2024.06.10 · page: std::equivalence_relation(3) — bye bestie, go be semantically slay 💖✨