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Theorem hban 1931
Description: If is not free in and , it is not free in . (Contributed by NM, 14-May-1993.) (Proof shortened by Wolf Lammen, 2-Jan-2018.)
Hypotheses
Ref Expression
hb.1
hb.2
Assertion
Ref Expression
hban

Proof of Theorem hban
StepHypRef Expression
1 hb.1 . . . 4
21nfi 1623 . . 3
3 hb.2 . . . 4
43nfi 1623 . . 3
52, 4nfan 1928 . 2
65nfri 1874 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  A.wal 1393
This theorem is referenced by:  dvelimf-o  2259  ax12indalem  2275  ax12inda2ALT  2276  cleqhOLD  2573  hbimpg  33327  hbimpgVD  33704  bnj982  33837  bnj1351  33885  bnj1352  33886  bnj1441  33899  bj-cleqh  34358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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