Theorem brresi2

Description: Restriction of a binary relation. (Contributed by Jeff Madsen, 2-Sep-2009)

	Ref	Expression
Hypothesis	brresi2.1	$$⊢B\in \mathrm{V}$$
Assertion	brresi2	$$⊢A\left({R\upharpoonright }_C\right)B\to ARB$$

Proof

Step	Hyp	Ref	Expression
1		brresi2.1	$$⊢B\in \mathrm{V}$$
2		resss	$$⊢{R\upharpoonright }_C\subseteq R$$
3	2	ssbri	$$⊢A\left({R\upharpoonright }_C\right)B\to ARB$$