Reflexive Relation

A Relation R : A → A → Ω : 𝑅 → 𝐴 𝐴 → Ω R:A\to A\to\Omega is reflexive if for all x : A : 𝑥 𝐴 x:A , R ⁢ ( x , x ) 𝑅 𝑥 𝑥 R(x,x) . Equivalently, a relation R 𝑅 R is reflexive if id ⊆ R id 𝑅 \mathrm{id}\subseteq R , where id id \mathrm{id} is the Identity Relation; this version works better in an Allegory.