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Axiom ax-sep 4573
Description: The Axiom of Separation of ZF set theory. See axsep 4572 for more information. It was derived as axsep 4572 above and is therefore redundant, but we state it as a separate axiom here so that its uses can be identified more easily. (Contributed by NM, 11-Sep-2006.)
Assertion
Ref Expression
ax-sep
Distinct variable groups:   , ,   , ,

Detailed syntax breakdown of Axiom ax-sep
StepHypRef Expression
1 vx . . . . 5
2 vy . . . . 5
31, 2wel 1819 . . . 4
4 vz . . . . . 6
51, 4wel 1819 . . . . 5
6 wph . . . . 5
75, 6wa 369 . . . 4
83, 7wb 184 . . 3
98, 1wal 1393 . 2
109, 2wex 1612 1
Colors of variables: wff setvar class
This axiom is referenced by:  axsep2  4574  zfauscl  4575  bm1.3ii  4576  ax6vsep  4577  axnul  4580  nalset  4589  bj-nalset  34380  bj-axsep2  34493
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