Theorem inteqi

Description: Equality inference for class intersection. (Contributed by NM, 2-Sep-2003)

	Ref	Expression
Hypothesis	inteqi.1	|- A = B
Assertion	inteqi	|- |^| A = |^| B

Proof

Step	Hyp	Ref	Expression
1		inteqi.1	|- A = B
2		inteq	|- ( A = B -> |^| A = |^| B )
3	1 2	ax-mp	|- |^| A = |^| B