MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  alim Unicode version

Theorem alim 1548
Description: Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by O'Cat, 30-Mar-2008.)
Assertion
Ref Expression
alim  |-  ( A. x ( ph  ->  ps )  ->  ( A. x ph  ->  A. x ps ) )

Proof of Theorem alim
StepHypRef Expression
1 ax-5 1533 1  |-  ( A. x ( ph  ->  ps )  ->  ( A. x ph  ->  A. x ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6   A.wal 1532
This theorem is referenced by:  al2imi  1549  ax12olem17  1651  19.21t  1770  stdpc5  1773  sbal1  2086  eunex  4097  hbaltg  23332  hbalg  27014
This theorem was proved from axioms:  ax-5 1533
  Copyright terms: Public domain W3C validator