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Theorem 19.43 1516
Description: Theorem 19.43 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Mario Carneiro, 2-Feb-2015.)
Assertion
Ref Expression
19.43

Proof of Theorem 19.43
StepHypRef Expression
1 hbe1 1381 . . . 4
2 hbe1 1381 . . . 4
31, 2hbor 1435 . . 3
4 19.8a 1479 . . . 4
5 19.8a 1479 . . . 4
64, 5orim12i 675 . . 3
73, 6exlimih 1481 . 2
8 orc 632 . . . 4
98eximi 1488 . . 3
10 olc 631 . . . 4
1110eximi 1488 . . 3
129, 11jaoi 635 . 2
137, 12impbii 117 1
Colors of variables: wff set class
Syntax hints:   wb 98   wo 628  wex 1378
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-ial 1424
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  19.44  1569  19.45  1570  19.34  1571  sborv  1767  r19.43  2462  rexun  3117  unipr  3585  uniun  3590  unopab  3827  dmun  4485  coundi  4765  coundir  4766
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