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Theorem p0exALT 5382
Description: Alternate proof of p0ex 5381 which is quite different and longer if snexALT 5380 is expanded. (Contributed by NM, 23-Dec-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
p0exALT {∅} ∈ V

Proof of Theorem p0exALT
StepHypRef Expression
1 snexALT 5380 1 {∅} ∈ V
Colors of variables: wff setvar class
Syntax hints:  wcel 2104  Vcvv 3472  c0 4321  {csn 4627
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1911  ax-6 1969  ax-7 2009  ax-8 2106  ax-9 2114  ax-ext 2701  ax-sep 5298  ax-nul 5305  ax-pow 5362
This theorem depends on definitions:  df-bi 206  df-an 395  df-tru 1542  df-fal 1552  df-ex 1780  df-sb 2066  df-clab 2708  df-cleq 2722  df-clel 2808  df-rab 3431  df-v 3474  df-dif 3950  df-in 3954  df-ss 3964  df-nul 4322  df-pw 4603  df-sn 4628
This theorem is referenced by: (None)
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