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Theorem dvelimALT 2133
 Description: Version of dvelim 2016 that doesn't use ax-10 2140. (See dvelimh 1964 for a version that doesn't use ax-11 1746.) (Contributed by NM, 17-May-2008.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
dvelimALT.1
dvelimALT.2
Assertion
Ref Expression
dvelimALT
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   (,,)   (,)

Proof of Theorem dvelimALT
StepHypRef Expression
1 ax-17 1616 . . 3
2 ax16ALT 2047 . . . . 5
32a1d 22 . . . 4
4 hbn1 1730 . . . . . . 7
5 hbn1 1730 . . . . . . 7
64, 5hban 1828 . . . . . 6
7 ax12o 1934 . . . . . . 7
87imp 418 . . . . . 6
9 dvelimALT.1 . . . . . . 7
109a1i 10 . . . . . 6
116, 8, 10hbimd 1815 . . . . 5
1211ex 423 . . . 4
133, 12pm2.61i 156 . . 3
141, 13hbald 1740 . 2
15 ax-17 1616 . . 3
16 dvelimALT.2 . . 3
1715, 16equsalh 1961 . 2
1817albii 1566 . 2
1914, 17, 183imtr3g 260 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wb 176   wa 358  wal 1540 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649 This theorem is referenced by:  dveeq2-o16  2185
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