Theorem ineq1i

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

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

Proof

Step	Hyp	Ref	Expression
1		ineq1i.1	|- A = B
2		ineq1	|- ( A = B -> ( A i^i C ) = ( B i^i C ) )
3	1 2	ax-mp	|- ( A i^i C ) = ( B i^i C )