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Theorem bj-cbval2v 31302
 Description: Version of cbval2 2085 with a dv condition, which does not require ax-13 2057. (Contributed by BJ, 16-Jun-2019.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
bj-cbval2v.1
bj-cbval2v.2
bj-cbval2v.3
bj-cbval2v.4
bj-cbval2v.5
Assertion
Ref Expression
bj-cbval2v
Distinct variable group:   ,,,
Allowed substitution hints:   (,,,)   (,,,)

Proof of Theorem bj-cbval2v
StepHypRef Expression
1 bj-cbval2v.1 . . 3
21nfal 2007 . 2
3 bj-cbval2v.3 . . 3
43nfal 2007 . 2
5 nfv 1755 . . . . . 6
6 bj-cbval2v.2 . . . . . 6
75, 6nfim 1980 . . . . 5
8 nfv 1755 . . . . . 6
9 bj-cbval2v.4 . . . . . 6
108, 9nfim 1980 . . . . 5
11 bj-cbval2v.5 . . . . . . 7
1211expcom 436 . . . . . 6
1312pm5.74d 250 . . . . 5
147, 10, 13bj-cbvalv 31296 . . . 4
15 19.21v 1779 . . . 4
16 19.21v 1779 . . . 4
1714, 15, 163bitr3i 278 . . 3
1817pm5.74ri 249 . 2
192, 4, 18bj-cbvalv 31296 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 187   wa 370  wal 1435  wnf 1661 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1663  ax-4 1676  ax-5 1752  ax-6 1798  ax-7 1843  ax-10 1891  ax-11 1896  ax-12 1909 This theorem depends on definitions:  df-bi 188  df-an 372  df-ex 1658  df-nf 1662 This theorem is referenced by:  bj-cbvex2v  31303  bj-cbval2vv  31304
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