Theorem p0exALT 5317

Description: Alternate proof of p0ex 5316 which is quite different and longer if snexALT 5315 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 5315	1 ⊢ {∅} ∈ V

Syntax hints:   ∈ wcel 2121  Vcvv 3433  ∅c0 4264  {csn 4558

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1975  ax-7 2016  ax-8 2123  ax-9 2131  ax-ext 2713  ax-sep 5221  ax-nul 5231  ax-pow 5297

This theorem depends on definitions:  df-bi 209  df-an 398  df-3an 1095  df-tru 1551  df-fal 1561  df-ex 1788  df-sb 2075  df-clab 2720  df-cleq 2733  df-clel 2816  df-rab 3394  df-v 3435  df-dif 3888  df-in 3892  df-ss 3902  df-nul 4265  df-pw 4534  df-sn 4559

This theorem is referenced by: (None)