Theorem funALTVeqd

Description: Equality deduction for the function predicate. (Contributed by NM, 23-Feb-2013)

	Ref	Expression
Hypothesis	funALTVeqd.1	|- ( ph -> A = B )
Assertion	funALTVeqd	|- ( ph -> ( FunALTV A <-> FunALTV B ) )

Proof

Step	Hyp	Ref	Expression
1		funALTVeqd.1	|- ( ph -> A = B )
2		funALTVeq	|- ( A = B -> ( FunALTV A <-> FunALTV B ) )
3	1 2	syl	|- ( ph -> ( FunALTV A <-> FunALTV B ) )