dedekind::category::IsCodirected Concept Reference

Formal verification of the codirectedness axiom: ∀ a, b ∈ T. ∃ c ∈ T. Rel(c, a) ∧ Rel(c, b). More...

Concept definition

template<typename T, typename Rel, typename Ω bool>
concept dedekind::category::IsCodirected = 
    IsTruthObject<Ω> &&
    requires(const std::remove_cvref_t<Rel>& rel, const T& a, const T& b) {
      { rel(a, b) } -> std::convertible_to<Ω>;
    } && requires { requires is_codirected_v<T, std::remove_cvref_t<Rel>>; }

Detailed Description

Formal verification of the codirectedness axiom: ∀ a, b ∈ T. ∃ c ∈ T. Rel(c, a) ∧ Rel(c, b).