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Theorem nfsbc1 2775
Description: Bound-variable hypothesis builder for class substitution. (Contributed by Mario Carneiro, 12-Oct-2016.)
Hypothesis
Ref Expression
nfsbc1.1  F/_
Assertion
Ref Expression
nfsbc1  F/ [.  ].

Proof of Theorem nfsbc1
StepHypRef Expression
1 nfsbc1.1 . . . 4  F/_
21a1i 9 . . 3  F/_
32nfsbc1d 2774 . 2  F/ [.  ].
43trud 1251 1  F/ [.  ].
Colors of variables: wff set class
Syntax hints:   wtru 1243   F/wnf 1346   F/_wnfc 2162   [.wsbc 2758
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-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-11 1394  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-sbc 2759
This theorem is referenced by:  nfsbc1v  2776  riotass2  5437  riotass  5438  bj-intabssel  9243
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