Theorem issetri 3116

Description: A way to say " is a set" (inference rule). (Contributed by NM, 21-Jun-1993.)

Hypothesis

Ref	Expression
issetri.1

Assertion

Ref	Expression
issetri

Distinct variable group:   ,

Proof of Theorem issetri

Step	Hyp	Ref	Expression
1		issetri.1	. 2
2		isset 3113	. 2
3	1, 2	mpbir 209	1

Syntax hints:  =wceq 1395  E.wex 1612  e.wcel 1818  cvv 3109

This theorem is referenced by:  zfrep4  4571  0ex  4582  inex1  4593  pwex  4635  zfpair2  4692  uniex  6596  bj-snsetex  34521

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-v 3111