Theorem fveq2d

Description: Equality deduction for function value. (Contributed by NM, 29-May-1999)

	Ref	Expression
Hypothesis	fveq2d.1	$$⊢\phi \to A=B$$
Assertion	fveq2d	$$⊢\phi \to F\left(A\right)=F\left(B\right)$$

Proof

Step	Hyp	Ref	Expression
1		fveq2d.1	$$⊢\phi \to A=B$$
2		fveq2	$$⊢A=B\to F\left(A\right)=F\left(B\right)$$
3	1 2	syl	$$⊢\phi \to F\left(A\right)=F\left(B\right)$$