Theorem bnj1436

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

	Ref	Expression
Hypothesis	bnj1436.1	$$⊢A=\left\{x|\phi \right\}$$
Assertion	bnj1436	$$⊢x\in A\to \phi$$

Proof

Step	Hyp	Ref	Expression
1		bnj1436.1	$$⊢A=\left\{x|\phi \right\}$$
2	1	abeq2i	$$⊢x\in A\leftrightarrow \phi$$
3	2	biimpi	$$⊢x\in A\to \phi$$