Theorem oveqan12d

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

	Ref	Expression
Hypotheses	oveq1d.1	$$⊢\phi \to A=B$$
	opreqan12i.2	$$⊢\psi \to C=D$$
Assertion	oveqan12d	$$⊢\left(\phi \wedge \psi \right)\to AFC=BFD$$

Proof

Step	Hyp	Ref	Expression
1		oveq1d.1	$$⊢\phi \to A=B$$
2		opreqan12i.2	$$⊢\psi \to C=D$$
3		oveq12	$$⊢\left(A=B\wedge C=D\right)\to AFC=BFD$$
4	1 2 3	syl2an	$$⊢\left(\phi \wedge \psi \right)\to AFC=BFD$$