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 ` A ) = ( G ` B )

Proof

Step	Hyp	Ref	Expression
1		fveq12i.1	|- F = G
2		fveq12i.2	|- A = B
3	1	fveq1i	|- ( F ` A ) = ( G ` A )
4	2	fveq2i	|- ( G ` A ) = ( G ` B )
5	3 4	eqtri	|- ( F ` A ) = ( G ` B )