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Metamath Proof Explorer

Theorem eldisjsim1

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

		Ref	Expression
	Assertion	eldisjsim1	$⊢ R \in Disjs \to Disj R$

Step	Hyp	Ref	Expression
1		eldisjsdisj	$⊢ R \in Disjs \to (R \in Disjs \leftrightarrow Disj R)$
2	1	ibi	$⊢ R \in Disjs \to Disj R$