Theorem oveq1d

Description: Equality deduction for operation value. (Contributed by NM, 13-Mar-1995)

	Ref	Expression
Hypothesis	oveq1d.1	⊢ ( 𝜑 → 𝐴 = 𝐵 )
Assertion	oveq1d	⊢ ( 𝜑 → ( 𝐴 𝐹 𝐶 ) = ( 𝐵 𝐹 𝐶 ) )

Proof

Step	Hyp	Ref	Expression
1		oveq1d.1	⊢ ( 𝜑 → 𝐴 = 𝐵 )
2		oveq1	⊢ ( 𝐴 = 𝐵 → ( 𝐴 𝐹 𝐶 ) = ( 𝐵 𝐹 𝐶 ) )
3	1 2	syl	⊢ ( 𝜑 → ( 𝐴 𝐹 𝐶 ) = ( 𝐵 𝐹 𝐶 ) )