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Theorem bj-cbv2hv 30858
 Description: Version of cbv2h 2046 with a dv condition, which does not require ax-13 2026. (Contributed by BJ, 16-Jun-2019.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
bj-cbv2hv.1
bj-cbv2hv.2
bj-cbv2hv.3
Assertion
Ref Expression
bj-cbv2hv
Distinct variable group:   ,
Allowed substitution hints:   (,)   (,)   (,)

Proof of Theorem bj-cbv2hv
StepHypRef Expression
1 bj-cbv2hv.1 . . 3
2 bj-cbv2hv.2 . . 3
3 bj-cbv2hv.3 . . . 4
4 biimp 193 . . . 4
53, 4syl6 31 . . 3
61, 2, 5bj-cbv1hv 30857 . 2
7 equcomi 1817 . . . . 5
8 biimpr 198 . . . . 5
97, 3, 8syl56 32 . . . 4
102, 1, 9bj-cbv1hv 30857 . . 3
1110alcoms 1867 . 2
126, 11impbid 190 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 184  wal 1403 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-5 1725  ax-6 1771  ax-7 1814  ax-10 1861  ax-11 1866  ax-12 1878 This theorem depends on definitions:  df-bi 185  df-ex 1634  df-nf 1638 This theorem is referenced by:  bj-cbv2v  30859
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