Theorem oveq1i

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

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

Proof

Step	Hyp	Ref	Expression
1		oveq1i.1	⊢ 𝐴 = 𝐵
2		oveq1	⊢ ( 𝐴 = 𝐵 → ( 𝐴 𝐹 𝐶 ) = ( 𝐵 𝐹 𝐶 ) )
3	1 2	ax-mp	⊢ ( 𝐴 𝐹 𝐶 ) = ( 𝐵 𝐹 𝐶 )