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Theorem nfbii 1359
Description: Equality theorem for not-free. (Contributed by Mario Carneiro, 11-Aug-2016.)
Hypothesis
Ref Expression
nfbii.1
Assertion
Ref Expression
nfbii  F/  F/

Proof of Theorem nfbii
StepHypRef Expression
1 nfbii.1 . . . 4
21albii 1356 . . . 4
31, 2imbi12i 228 . . 3
43albii 1356 . 2
5 df-nf 1347 . 2  F/
6 df-nf 1347 . 2  F/
74, 5, 63bitr4i 201 1  F/  F/
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98  wal 1240   F/wnf 1346
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-gen 1335
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  nfxfr  1360  nfxfrd  1361  nfsb  1819  nfsbt  1847  hbsbd  1855  sbal1yz  1874  dvelimALT  1883  dvelimfv  1884  dvelimor  1891  nfeudv  1912  nfeuv  1915  nfceqi  2171  nfreudxy  2477  dfnfc2  3589
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