Theorem disjrel

Description: Disjoint relation is a relation. (Contributed by Peter Mazsa, 15-Sep-2021)

	Ref	Expression
Assertion	disjrel	⊢ ( Disj 𝑅 → Rel 𝑅 )

Proof

Step	Hyp	Ref	Expression
1		df-disjALTV	⊢ ( Disj 𝑅 ↔ ( CnvRefRel ≀ ◡ 𝑅 ∧ Rel 𝑅 ) )
2	1	simprbi	⊢ ( Disj 𝑅 → Rel 𝑅 )