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Theorem ax11v2 1992
 Description: Recovery of ax-11o 2141 from ax11v 2096. This proof uses ax-10 2140 and ax-11 1746. TODO: figure out if this is useful, or if it should be simplified or eliminated. (Contributed by NM, 2-Feb-2007.)
Hypothesis
Ref Expression
ax11v2.1
Assertion
Ref Expression
ax11v2
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   (,)

Proof of Theorem ax11v2
StepHypRef Expression
1 a9ev 1656 . 2
2 ax11v2.1 . . . . 5
3 equequ2 1686 . . . . . . 7
43adantl 452 . . . . . 6
5 dveeq2 1940 . . . . . . . . 9
65imp 418 . . . . . . . 8
7 nfa1 1788 . . . . . . . . 9
83imbi1d 308 . . . . . . . . . 10
98sps 1754 . . . . . . . . 9
107, 9albid 1772 . . . . . . . 8
116, 10syl 15 . . . . . . 7
1211imbi2d 307 . . . . . 6
134, 12imbi12d 311 . . . . 5
142, 13mpbii 202 . . . 4
1514ex 423 . . 3
1615exlimdv 1636 . 2
171, 16mpi 16 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wb 176   wa 358  wal 1540  wex 1541 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 This theorem is referenced by:  ax11a2  1993
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