Theorem albidv

Description: Formula-building rule for universal quantifier (deduction form). See also albidh and albid . (Contributed by NM, 26-May-1993)

	Ref	Expression
Hypothesis	albidv.1	|- ( ph -> ( ps <-> ch ) )
Assertion	albidv	|- ( ph -> ( A. x ps <-> A. x ch ) )

Proof

Step	Hyp	Ref	Expression
1		albidv.1	|- ( ph -> ( ps <-> ch ) )
2		ax-5	|- ( ph -> A. x ph )
3	2 1	albidh	|- ( ph -> ( A. x ps <-> A. x ch ) )