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Theorem 19.30 1604
Description: Theorem 19.30 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.)
Assertion
Ref Expression
19.30

Proof of Theorem 19.30
StepHypRef Expression
1 exnal 1574 . . 3
2 exim 1575 . . 3
31, 2syl5bir 209 . 2
4 df-or 359 . . 3
54albii 1566 . 2
6 df-or 359 . 2
73, 5, 63imtr4i 257 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wo 357  wal 1540  wex 1541
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-or 359  df-ex 1542
This theorem is referenced by:  19.33b  1608
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