Metamath Proof Explorer


Theorem disjsssrels

Description: The class of disjoint relations is a subclass of the class of relations. (Contributed by Peter Mazsa, 11-Feb-2026)

Ref Expression
Assertion disjsssrels ⊢ Disjs ⊆ Rels

Proof

Step Hyp Ref Expression
1 eldisjsim2 ⊢ r ∈ Disjs → r ∈ Rels
2 1 ssriv ⊢ Disjs ⊆ Rels