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Theorem csbexa 3914
 Description: The existence of proper substitution into a class. (Contributed by NM, 7-Aug-2007.) (Proof shortened by Andrew Salmon, 29-Jun-2011.)
Hypotheses
Ref Expression
csbexa.1
csbexa.2
Assertion
Ref Expression
csbexa

Proof of Theorem csbexa
StepHypRef Expression
1 csbexa.1 . . 3
2 csbexga 3913 . . 3
31, 2mpan 408 . 2
4 csbexa.2 . 2
53, 4mpg 1356 1
 Colors of variables: wff set class Syntax hints:  wal 1257   wcel 1409  cvv 2574  csb 2880 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-io 640  ax-5 1352  ax-7 1353  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-10 1412  ax-11 1413  ax-i12 1414  ax-bndl 1415  ax-4 1416  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-i5r 1444  ax-ext 2038 This theorem depends on definitions:  df-bi 114  df-tru 1262  df-nf 1366  df-sb 1662  df-clab 2043  df-cleq 2049  df-clel 2052  df-nfc 2183  df-v 2576  df-sbc 2788  df-csb 2881 This theorem is referenced by:  dfmpt2  5872
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