Theorem ineq2i

Description: Equality inference for intersection of two classes. (Contributed by NM, 26-Dec-1993)

	Ref	Expression
Hypothesis	ineq1i.1	|- A = B
Assertion	ineq2i	|- ( C i^i A ) = ( C i^i B )

Proof

Step	Hyp	Ref	Expression
1		ineq1i.1	|- A = B
2		ineq2	|- ( A = B -> ( C i^i A ) = ( C i^i B ) )
3	1 2	ax-mp	|- ( C i^i A ) = ( C i^i B )