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Theorem nfab1 2314
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 2160 . 2  |-  F/ x  y  e.  { x  |  ph }
21nfci 2302 1  |-  F/_ x { x  |  ph }
Colors of variables: wff set class
Syntax hints:   {cab 2156   F/_wnfc 2299
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1440  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-11 1499  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527
This theorem depends on definitions:  df-bi 116  df-nf 1454  df-sb 1756  df-clab 2157  df-nfc 2301
This theorem is referenced by:  abid2f  2338  nfrab1  2649  elabgt  2871  elabgf  2872  nfsbc1d  2971  ss2ab  3215  abn0r  3439  euabsn  3653  iunab  3919  iinab  3934  sniota  5189  nfixp1  6696  elabgft1  13813  elabgf2  13815
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