This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem alrimi

Description: Inference form of Theorem 19.21 of Margaris p. 90, see 19.21 . (Contributed by Mario Carneiro, 24-Sep-2016)

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

Proof

Step Hyp Ref Expression
1 alrimi.1 
 |-  F/ x ph
2 alrimi.2 
 |-  ( ph -> ps )
3 1 nf5ri 
 |-  ( ph -> A. x ph )
4 3 2 alrimih 
 |-  ( ph -> A. x ps )