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Theorem ax12olem4 1975
 Description: Lemma for ax12o 1976. (Contributed by Wolf Lammen, 8-Feb-2018.)
Hypotheses
Ref Expression
ax12olem4.1
ax12olem4.2
Assertion
Ref Expression
ax12olem4
Distinct variable groups:   ,   ,   ,   ,   ,
Allowed substitution hints:   (,,)   (,,)

Proof of Theorem ax12olem4
StepHypRef Expression
1 ax12olem1 1972 . . . 4
2 nfv 1626 . . . . 5
3 ax12olem4.1 . . . . . . 7
43adantr 452 . . . . . 6
5 ax12olem4.2 . . . . . . 7
65adantl 453 . . . . . 6
74, 6nfimd 1823 . . . . 5
82, 7nfald 1867 . . . 4
91, 8nfxfrd 1577 . . 3
109nfrd 1775 . 2
1110ex 424 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 359  wal 1546  wnf 1550 This theorem is referenced by:  ax12o  1976 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-17 1623  ax-9 1662  ax-8 1683  ax-6 1740  ax-7 1745  ax-11 1757 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1548  df-nf 1551
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