Theorem disjimres

Description: Disjointness condition for restriction. (Contributed by Peter Mazsa, 27-Sep-2021)

	Ref	Expression
Assertion	disjimres	⊢ ( Disj 𝑅 → Disj ( 𝑅 ↾ 𝐴 ) )

Proof

Step	Hyp	Ref	Expression
1		resss	⊢ ( 𝑅 ↾ 𝐴 ) ⊆ 𝑅
2	1	disjssi	⊢ ( Disj 𝑅 → Disj ( 𝑅 ↾ 𝐴 ) )