Theorem oveq123i

Description: Equality inference for operation value. (Contributed by FL, 11-Jul-2010)

	Ref	Expression
Hypotheses	oveq123i.1	⊢ 𝐴 = 𝐶
	oveq123i.2	⊢ 𝐵 = 𝐷
	oveq123i.3	⊢ 𝐹 = 𝐺
Assertion	oveq123i	⊢ ( 𝐴 𝐹 𝐵 ) = ( 𝐶 𝐺 𝐷 )

Proof

Step	Hyp	Ref	Expression
1		oveq123i.1	⊢ 𝐴 = 𝐶
2		oveq123i.2	⊢ 𝐵 = 𝐷
3		oveq123i.3	⊢ 𝐹 = 𝐺
4	1 2	oveq12i	⊢ ( 𝐴 𝐹 𝐵 ) = ( 𝐶 𝐹 𝐷 )
5	3	oveqi	⊢ ( 𝐶 𝐹 𝐷 ) = ( 𝐶 𝐺 𝐷 )
6	4 5	eqtri	⊢ ( 𝐴 𝐹 𝐵 ) = ( 𝐶 𝐺 𝐷 )