Theorem bnj1293

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj1293.1	$$⊢A=B\cap C$$
Assertion	bnj1293	$$⊢A\subseteq C$$

Proof

Step	Hyp	Ref	Expression
1		bnj1293.1	$$⊢A=B\cap C$$
2		inss2	$$⊢B\cap C\subseteq C$$
3	1 2	eqsstri	$$⊢A\subseteq C$$