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Theorem dvelimfALT2 1790
 Description: Proof of dvelimf 1991 using dveeq2 1788 (shown as the last hypothesis) instead of ax-12 1490. This shows that ax-12 1490 could be replaced by dveeq2 1788 (the last hypothesis). (Contributed by Andrew Salmon, 21-Jul-2011.)
Hypotheses
Ref Expression
dvelimfALT2.1
dvelimfALT2.2
dvelimfALT2.3
dvelimfALT2.4
Assertion
Ref Expression
dvelimfALT2
Distinct variable groups:   ,   ,
Allowed substitution hints:   (,,)   (,,)

Proof of Theorem dvelimfALT2
StepHypRef Expression
1 ax-17 1507 . . 3
2 hbn1 1631 . . . 4
3 dvelimfALT2.4 . . . 4
4 dvelimfALT2.1 . . . . 5
54a1i 9 . . . 4
62, 3, 5hbimd 1553 . . 3
71, 6hbald 1468 . 2
8 dvelimfALT2.2 . . 3
9 dvelimfALT2.3 . . 3
108, 9equsalh 1705 . 2
1110albii 1447 . 2
127, 10, 113imtr3g 203 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 104  wal 1330   wceq 1332 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 604  ax-in2 605  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516 This theorem depends on definitions:  df-bi 116  df-tru 1335  df-fal 1338 This theorem is referenced by: (None)
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