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Theorem axreg2 8040
Description: Axiom of Regularity expressed more compactly. (Contributed by NM, 14-Aug-2003.)
Assertion
Ref Expression
axreg2
Distinct variable group:   , ,

Proof of Theorem axreg2
StepHypRef Expression
1 ax-reg 8039 . 2
2119.23bi 1871 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  /\wa 369  A.wal 1393  E.wex 1612
This theorem is referenced by:  zfregcl  8041  axregndlem2  9001
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-reg 8039
This theorem depends on definitions:  df-bi 185  df-ex 1613
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