Theorem oveqan12rd

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	oveqan12rd	$$⊢\left(\psi \wedge \phi \right)\to AFC=BFD$$

Proof

Step	Hyp	Ref	Expression
1		oveq1d.1	$$⊢\phi \to A=B$$
2		opreqan12i.2	$$⊢\psi \to C=D$$
3	1 2	oveqan12d	$$⊢\left(\phi \wedge \psi \right)\to AFC=BFD$$
4	3	ancoms	$$⊢\left(\psi \wedge \phi \right)\to AFC=BFD$$