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Theorem ssexi 3895
 Description: The subset of a set is also a set. (Contributed by NM, 9-Sep-1993.)
Hypotheses
Ref Expression
ssexi.1
ssexi.2
Assertion
Ref Expression
ssexi

Proof of Theorem ssexi
StepHypRef Expression
1 ssexi.2 . 2
2 ssexi.1 . . 3
32ssex 3894 . 2
41, 3ax-mp 7 1
 Colors of variables: wff set class Syntax hints:   wcel 1393  cvv 2557   wss 2917 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022  ax-sep 3875 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-v 2559  df-in 2924  df-ss 2931 This theorem is referenced by:  zfausab  3899  pp0ex  3940  ord3ex  3941  epse  4079  opabex  5385  oprabex  5755  phplem2  6316  phpm  6327  niex  6410  enqex  6458  enq0ex  6537  npex  6571  ltnqex  6647  gtnqex  6648  recexprlemell  6720  recexprlemelu  6721  enrex  6822  axcnex  6935  peano5nnnn  6966  reex  7015  nnex  7920  zex  8254  qex  8567  ixxex  8768  frecuzrdgrrn  9194  frec2uzrdg  9195  frecuzrdgrom  9196  frecuzrdgsuc  9201  resqrexlemf  9605  resqrexlemf1  9606  resqrexlemfp1  9607  iserclim0  9826  climle  9854
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