Theorem p0exALT 5324

Description: Alternate proof of p0ex 5323 which is quite different and longer if snexALT 5322 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 5322	1 ⊢ {∅} ∈ V

Syntax hints:   ∈ wcel 2109  Vcvv 3436  ∅c0 4284  {csn 4577

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 1910  ax-6 1967  ax-7 2008  ax-8 2111  ax-9 2119  ax-ext 2701  ax-sep 5235  ax-nul 5245  ax-pow 5304

This theorem depends on definitions:  df-bi 207  df-an 396  df-3an 1088  df-tru 1543  df-fal 1553  df-ex 1780  df-sb 2066  df-clab 2708  df-cleq 2721  df-clel 2803  df-rab 3395  df-v 3438  df-dif 3906  df-in 3910  df-ss 3920  df-nul 4285  df-pw 4553  df-sn 4578

This theorem is referenced by: (None)