MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  19.30 Unicode version

Theorem 19.30 1692
Description: Theorem 19.30 of [Margaris] p. 90. (Contributed by NM, 12-Mar-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.)
Assertion
Ref Expression
19.30

Proof of Theorem 19.30
StepHypRef Expression
1 exnal 1648 . . 3
2 pm2.53 373 . . . 4
32aleximi 1653 . . 3
41, 3syl5bir 218 . 2
54orrd 378 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  \/wo 368  A.wal 1393  E.wex 1612
This theorem is referenced by:  19.33b  1696
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631
This theorem depends on definitions:  df-bi 185  df-or 370  df-ex 1613
  Copyright terms: Public domain W3C validator