Theorem oveq2

Description: Equality theorem for operation value. (Contributed by NM, 28-Feb-1995)

	Ref	Expression
Assertion	oveq2	$$⊢A=B\to CFA=CFB$$

Proof

Step	Hyp	Ref	Expression
1		opeq2	$$⊢A=B\to ⟨C,A⟩=⟨C,B⟩$$
2	1	fveq2d	$$⊢A=B\to F\left(⟨C,A⟩\right)=F\left(⟨C,B⟩\right)$$
3		df-ov	$$⊢CFA=F\left(⟨C,A⟩\right)$$
4		df-ov	$$⊢CFB=F\left(⟨C,B⟩\right)$$
5	2 3 4	3eqtr4g	$$⊢A=B\to CFA=CFB$$