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Theorem sb8 1733
Description: Substitution of variable in universal quantifier. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 6-Oct-2016.) (Proof shortened by Jim Kingdon, 15-Jan-2018.)
Hypothesis
Ref Expression
sb8e.1  F/
Assertion
Ref Expression
sb8

Proof of Theorem sb8
StepHypRef Expression
1 sb8e.1 . 2  F/
21nfs1 1687 . 2  F/
3 sbequ12 1651 . 2
41, 2, 3cbval 1634 1
Colors of variables: wff set class
Syntax hints:   wb 98  wal 1240   F/wnf 1346  wsb 1642
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
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643
This theorem is referenced by:  sbnf2  1854  sb8eu  1910  nfraldya  2352  rabeq0  3241  abeq0  3242  sb8iota  4817
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