Theorem disjimxrn

Description: Disjointness condition for range Cartesian product. (Contributed by Peter Mazsa, 15-Dec-2020) (Revised by Peter Mazsa, 22-Sep-2021)

	Ref	Expression
Assertion	disjimxrn	$$⊢DisjS\to DisjR⋉S$$

Proof

Step	Hyp	Ref	Expression
1		disjorimxrn	$$⊢\left(DisjR\vee DisjS\right)\to DisjR⋉S$$
2	1	olcs	$$⊢DisjS\to DisjR⋉S$$