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Theorem exim 1575
Description: Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 4-Jul-2014.)
Assertion
Ref Expression
exim

Proof of Theorem exim
StepHypRef Expression
1 con3 126 . . . 4
21al2imi 1561 . . 3
3 alnex 1543 . . 3
4 alnex 1543 . . 3
52, 3, 43imtr3g 260 . 2
65con4d 97 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4  wal 1540  wex 1541
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-ex 1542
This theorem is referenced by:  eximi  1576  exbi  1581  eximdh  1588  19.29  1596  19.25  1603  19.30  1604  19.23t  1800  19.23tOLD  1819  19.23hOLD  1820  2mo  2282  elex22  2870  elex2  2871  vtoclegft  2926  spcimgft  2930
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