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Theorem hbimd 1835
 Description: Deduction form of bound-variable hypothesis builder hbim 1837. (Contributed by NM, 1-Jan-2002.) (Proof shortened by Wolf Lammen, 3-Jan-2018.)
Hypotheses
Ref Expression
hbimd.1
hbimd.2
hbimd.3
Assertion
Ref Expression
hbimd

Proof of Theorem hbimd
StepHypRef Expression
1 hbimd.1 . . . 4
2 hbimd.2 . . . 4
31, 2nfdh 1784 . . 3
4 hbimd.3 . . . 4
51, 4nfdh 1784 . . 3
63, 5nfimd 1828 . 2
76nfrd 1780 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1550 This theorem is referenced by:  spimehOLD  1841  dvelimhwOLD  1878  dvelimvOLD  2029  dvelimhOLD  2073  dvelimALT  2211  dvelimf-o  2258  dvelimhwNEW7  29456  dvelimvNEW7  29463  dvelimhvAUX7  29493  dvelimALTNEW7  29637  dvelimhOLD7  29714 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-11 1762 This theorem depends on definitions:  df-bi 179  df-ex 1552  df-nf 1555
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