Theorem oveqi

Description: Equality inference for operation value. (Contributed by NM, 24-Nov-2007)

	Ref	Expression
Hypothesis	oveq1i.1	⊢ 𝐴 = 𝐵
Assertion	oveqi	⊢ ( 𝐶 𝐴 𝐷 ) = ( 𝐶 𝐵 𝐷 )

Proof

Step	Hyp	Ref	Expression
1		oveq1i.1	⊢ 𝐴 = 𝐵
2		oveq	⊢ ( 𝐴 = 𝐵 → ( 𝐶 𝐴 𝐷 ) = ( 𝐶 𝐵 𝐷 ) )
3	1 2	ax-mp	⊢ ( 𝐶 𝐴 𝐷 ) = ( 𝐶 𝐵 𝐷 )