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Theorem ax11vALT 2097
 Description: Alternate proof of ax11v 2096 that avoids theorem ax16 2045 and is proved directly from ax-11 1746 rather than via ax11o 1994. (Contributed by Jim Kingdon, 15-Dec-2017.) (New usage is discouraged.) (Proof modification is discouraged.)
Assertion
Ref Expression
ax11vALT
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem ax11vALT
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 a9e 1951 . 2
2 ax-17 1616 . . . . 5
3 ax-11 1746 . . . . 5
42, 3syl5 28 . . . 4
5 equequ2 1686 . . . . 5
65imbi1d 308 . . . . . . 7
76albidv 1625 . . . . . 6
87imbi2d 307 . . . . 5
95, 8imbi12d 311 . . . 4
104, 9mpbii 202 . . 3
1110exlimiv 1634 . 2
121, 11ax-mp 8 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wal 1540  wex 1541   wceq 1642 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: (None)
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