Theorem oveqan12d

Description: Equality deduction for operation value. (Contributed by NM, 10-Aug-1995)

	Ref	Expression
Hypotheses	oveq1d.1	|- ( ph -> A = B )
	opreqan12i.2	|- ( ps -> C = D )
Assertion	oveqan12d	|- ( ( ph /\ ps ) -> ( A F C ) = ( B F D ) )

Proof

Step	Hyp	Ref	Expression
1		oveq1d.1	|- ( ph -> A = B )
2		opreqan12i.2	|- ( ps -> C = D )
3		oveq12	|- ( ( A = B /\ C = D ) -> ( A F C ) = ( B F D ) )
4	1 2 3	syl2an	|- ( ( ph /\ ps ) -> ( A F C ) = ( B F D ) )