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Metamath Proof Explorer

Theorem alrimih

Description: Inference form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21h . Instance of sylg . (Contributed by NM, 9-Jan-1993)

Ref Expression
Hypotheses alrimih.1 
|- ( ph -> A. x ph )
alrimih.2 
|- ( ph -> ps )
Assertion alrimih 
|- ( ph -> A. x ps )

Proof

Step Hyp Ref Expression
1 alrimih.1 
 |-  ( ph -> A. x ph )
2 alrimih.2 
 |-  ( ph -> ps )
3 1 2 sylg 
 |-  ( ph -> A. x ps )