Theorem eldisjssi

Description: Subclass theorem for disjoint elementhood, inference version. (Contributed by Peter Mazsa, 28-Sep-2021)

	Ref	Expression
Hypothesis	eldisjssi.1	$$⊢A\subseteq B$$
Assertion	eldisjssi	$$⊢ElDisjB\to ElDisjA$$

Proof

Step	Hyp	Ref	Expression
1		eldisjssi.1	$$⊢A\subseteq B$$
2		eldisjss	$$⊢A\subseteq B\to \left(ElDisjB\to ElDisjA\right)$$
3	1 2	ax-mp	$$⊢ElDisjB\to ElDisjA$$