Theorem fveleq

Description: Please add description here. (Contributed by Jeff Hoffman, 12-Feb-2008)

	Ref	Expression
Assertion	fveleq	|- ( A = B -> ( ( ph -> ( F ` A ) e. P ) <-> ( ph -> ( F ` B ) e. P ) ) )

Proof

Step	Hyp	Ref	Expression
1		fveq2	|- ( A = B -> ( F ` A ) = ( F ` B ) )
2	1	eleq1d	|- ( A = B -> ( ( F ` A ) e. P <-> ( F ` B ) e. P ) )
3	2	imbi2d	|- ( A = B -> ( ( ph -> ( F ` A ) e. P ) <-> ( ph -> ( F ` B ) e. P ) ) )