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Theorem cbv3wAUX7 29914
Description: Weak version of cbv3 1976 not requiring ax-7 1752. (Contributed by NM, 28-Oct-2017.)
Hypotheses
Ref Expression
cbv3.1w
cbv3.2w
cbv3.3w
Assertion
Ref Expression
cbv3wAUX7
Distinct variable group:   ,
Allowed substitution hints:   ( , )   ( , )

Proof of Theorem cbv3wAUX7
StepHypRef Expression
1 cbv3.1w . . . 4
21a1i 11 . . 3
3 cbv3.2w . . . 4
43a1i 11 . . 3
5 cbv3.3w . . . 4
65a1i 11 . . 3
72, 4, 6cbv1wAUX7 29909 . 2
8 tru 1331 . . 3
98ax-gen 1556 . 2
107, 9mpg 1558 1
Colors of variables: wff set class
Syntax hints:  ->wi 4   wtru 1326  A.wal 1550  F/wnf 1554
This theorem is referenced by:  cbvalwwAUX7  29916  ax16iNEW7  29948  sb8wAUX7  29990
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-6 1747  ax-11 1764  ax-12 1955  ax-7v 29839
This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555
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