Theorem elin1d

Description: Elementhood in the first set of an intersection - deduction version. (Contributed by Thierry Arnoux, 3-May-2020)

	Ref	Expression
Hypothesis	elin1d.1	|- ( ph -> X e. ( A i^i B ) )
Assertion	elin1d	|- ( ph -> X e. A )

Proof

Step	Hyp	Ref	Expression
1		elin1d.1	|- ( ph -> X e. ( A i^i B ) )
2		elinel1	|- ( X e. ( A i^i B ) -> X e. A )
3	1 2	syl	|- ( ph -> X e. A )