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Theorem dvelimdf 2077
Description: Deduction form of dvelimf 2076. (Contributed by NM, 7-Apr-2004.) (Revised by Mario Carneiro, 6-Oct-2016.) (Proof shortened by Wolf Lammen, 11-May-2018.)
Hypotheses
Ref Expression
dvelimdf.1
dvelimdf.2
dvelimdf.3
dvelimdf.4
dvelimdf.5
Assertion
Ref Expression
dvelimdf

Proof of Theorem dvelimdf
StepHypRef Expression
1 dvelimdf.1 . . . 4
2 dvelimdf.3 . . . 4
31, 2nfim1 1919 . . 3
4 dvelimdf.2 . . . 4
5 dvelimdf.4 . . . 4
64, 5nfim1 1919 . . 3
7 dvelimdf.5 . . . . 5
87com12 31 . . . 4
98pm5.74d 247 . . 3
103, 6, 9dvelimf 2076 . 2
11 pm5.5 336 . . 3
121, 11nfbidf 1887 . 2
1310, 12syl5ib 219 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  <->wb 184  A.wal 1393  F/wnf 1616
This theorem is referenced by:  nfsb4t  2130  dvelimdc  2642
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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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