Theorem oveq1

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

	Ref	Expression
Assertion	oveq1	$$⊢A=B\to AFC=BFC$$

Proof

Step	Hyp	Ref	Expression
1		opeq1	$$⊢A=B\to ⟨A,C⟩=⟨B,C⟩$$
2	1	fveq2d	$$⊢A=B\to F\left(⟨A,C⟩\right)=F\left(⟨B,C⟩\right)$$
3		df-ov	$$⊢AFC=F\left(⟨A,C⟩\right)$$
4		df-ov	$$⊢BFC=F\left(⟨B,C⟩\right)$$
5	2 3 4	3eqtr4g	$$⊢A=B\to AFC=BFC$$