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Theorem nfab1 2231
Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
nfab1  |-  F/_ x { x  |  ph }

Proof of Theorem nfab1
Dummy variable  y is distinct from all other variables.
StepHypRef Expression
1 nfsab1 2079 . 2  |-  F/ x  y  e.  { x  |  ph }
21nfci 2219 1  |-  F/_ x { x  |  ph }
Colors of variables: wff set class
Syntax hints:   {cab 2075   F/_wnfc 2216
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-gen 1384  ax-ie1 1428  ax-ie2 1429  ax-8 1441  ax-11 1443  ax-4 1446  ax-17 1465  ax-i9 1469  ax-ial 1473
This theorem depends on definitions:  df-bi 116  df-nf 1396  df-sb 1694  df-clab 2076  df-nfc 2218
This theorem is referenced by:  abid2f  2254  nfrab1  2547  elabgt  2758  elabgf  2759  nfsbc1d  2857  ss2ab  3090  abn0r  3311  euabsn  3516  iunab  3782  iinab  3797  sniota  5020  nfixp1  6489  elabgft1  11951  elabgf2  11953
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