Theorem p0exALT 5344

Description: Alternate proof of p0ex 5343 which is quite different and longer if snexALT 5342 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

Step	Hyp	Ref	Expression
1		snexALT 5342	1 ⊢ {∅} ∈ V

Syntax hints:   ∈ wcel 2144  Vcvv 3456  ∅c0 4287  {csn 4584

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1817  ax-4 1831  ax-5 1932  ax-6 1989  ax-7 2030  ax-8 2146  ax-9 2154  ax-ext 2736  ax-sep 5248  ax-nul 5258  ax-pow 5324

This theorem depends on definitions:  df-bi 209  df-an 400  df-3an 1101  df-tru 1565  df-fal 1575  df-ex 1802  df-sb 2093  df-clab 2743  df-cleq 2756  df-clel 2839  df-rab 3417  df-v 3458  df-dif 3909  df-in 3913  df-ss 3923  df-nul 4288  df-pw 4559  df-sn 4585

This theorem is referenced by: (None)