Theorem fveq1d

Description: Equality deduction for function value. (Contributed by NM, 2-Sep-2003)

	Ref	Expression
Hypothesis	fveq1d.1	$$⊢\phi \to F=G$$
Assertion	fveq1d	$$⊢\phi \to F\left(A\right)=G\left(A\right)$$

Proof

Step	Hyp	Ref	Expression
1		fveq1d.1	$$⊢\phi \to F=G$$
2		fveq1	$$⊢F=G\to F\left(A\right)=G\left(A\right)$$
3	1 2	syl	$$⊢\phi \to F\left(A\right)=G\left(A\right)$$