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Theorem dvelimALTNEW7 29698
 Description: Version of dvelim 2074 that doesn't use ax-10 2219. (See dvelimh 2072 for a version that doesn't use ax-11 1762.) (Contributed by NM, 17-May-2008.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
dvelimALT.1NEW7
dvelimALT.2NEW7
Assertion
Ref Expression
dvelimALTNEW7
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   (,,)   (,)

Proof of Theorem dvelimALTNEW7
StepHypRef Expression
1 ax-17 1627 . . 3
2 ax16ALTNEW7 29697 . . . . 5
32a1d 24 . . . 4
4 hbn1 1746 . . . . . . 7
5 hbn1 1746 . . . . . . 7
64, 5hban 1851 . . . . . 6
7 ax12oNEW7 29523 . . . . . . 7
87imp 420 . . . . . 6
9 dvelimALT.1NEW7 . . . . . . 7
109a1i 11 . . . . . 6
116, 8, 10hbimd 1835 . . . . 5
1211ex 425 . . . 4
133, 12pm2.61i 159 . . 3
141, 13hbaldwAUX7 29510 . 2
15 ax-17 1627 . . 3
16 dvelimALT.2NEW7 . . 3
1715, 16equsalhNEW7 29551 . 2
1817albii 1576 . 2
1914, 17, 183imtr3g 262 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 178   wa 360  wal 1550 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  ax-12 1951  ax-7v 29504 This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660
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