Theorem rspec

Description: Specialization rule for restricted quantification. (Contributed by NM, 19-Nov-1994)

	Ref	Expression
Hypothesis	rspec.1	|- A. x e. A ph
Assertion	rspec	|- ( x e. A -> ph )

Proof

Step	Hyp	Ref	Expression
1		rspec.1	|- A. x e. A ph
2		rsp	|- ( A. x e. A ph -> ( x e. A -> ph ) )
3	1 2	ax-mp	|- ( x e. A -> ph )