Theorem fveq12i

Description: Equality deduction for function value. (Contributed by FL, 27-Jun-2014)

	Ref	Expression
Hypotheses	fveq12i.1	$$⊢F=G$$
	fveq12i.2	$$⊢A=B$$
Assertion	fveq12i	$$⊢F\left(A\right)=G\left(B\right)$$

Proof

Step	Hyp	Ref	Expression
1		fveq12i.1	$$⊢F=G$$
2		fveq12i.2	$$⊢A=B$$
3	1	fveq1i	$$⊢F\left(A\right)=G\left(A\right)$$
4	2	fveq2i	$$⊢G\left(A\right)=G\left(B\right)$$
5	3 4	eqtri	$$⊢F\left(A\right)=G\left(B\right)$$