Theorem p0exALT 5316

Description: Alternate proof of p0ex 5315 which is quite different and longer if snexALT 5314 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 5314	1 ⊢ {∅} ∈ V

Syntax hints:   ∈ wcel 2114  Vcvv 3427  ∅c0 4263  {csn 4557

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1969  ax-7 2010  ax-8 2116  ax-9 2124  ax-ext 2707  ax-sep 5220  ax-nul 5230  ax-pow 5296

This theorem depends on definitions:  df-bi 207  df-an 396  df-3an 1089  df-tru 1545  df-fal 1555  df-ex 1782  df-sb 2069  df-clab 2714  df-cleq 2727  df-clel 2810  df-rab 3388  df-v 3429  df-dif 3888  df-in 3892  df-ss 3902  df-nul 4264  df-pw 4533  df-sn 4558

This theorem is referenced by: (None)