Theorem ssv 1520

Description: Any class is a subclass of the universal class.

Assertion

Ref	Expression
ssv	|- A (_ V

Proof of Theorem ssv

Step	Hyp	Ref	Expression
1		elisset 1354	. 2 |- (x e. A -> x e. V)
2	1	ssriv 1508	1 |- A (_ V

Syntax hints:  Vcvv 1348   (_ wss 1487

This theorem is referenced by:  inv 1723  unv 1724  vss 1729  pssv 1732  pwv 1884  trv 2053  dmv 2546  dmresi 2600  resid 2601  fnresi 2737  fnf 2753  df1st2 3098  fiint 3445

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6  ax-4 673  ax-5 674  ax-6 675  ax-7 676  ax-gen 677  ax-8 798  ax-9 799  ax-10 800  ax-11 801  ax-12 802  ax-16 922  ax-17 925  ax-ext 1074

This theorem depends on definitions:  df-bi 128  df-an 198  df-ex 679  df-sb 853  df-clab 1093  df-cleq 1097  df-clel 1099  df-v 1349  df-in 1491  df-ss 1492

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