New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  cbv3hvOLD Unicode version

Theorem cbv3hvOLD 1851
 Description: Obsolete proof of cbv3hv 1850 as of 29-Dec-2017. (Contributed by NM, 25-Jul-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
cbv3hv.1
cbv3hv.2
cbv3hv.3
Assertion
Ref Expression
cbv3hvOLD
Distinct variable group:   ,
Allowed substitution hints:   (,)   (,)

Proof of Theorem cbv3hvOLD
StepHypRef Expression
1 cbv3hv.1 . . 3
21alimi 1559 . 2
3 ax9v 1655 . . . . 5
4 hba1 1786 . . . . . . . 8
5 cbv3hv.2 . . . . . . . 8
64, 5hbim 1817 . . . . . . 7
76hbn 1776 . . . . . 6
8 sp 1747 . . . . . . . 8
9 cbv3hv.3 . . . . . . . 8
108, 9syl5 28 . . . . . . 7
1110con3i 127 . . . . . 6
127, 11alrimih 1565 . . . . 5
133, 12mt3 171 . . . 4
1413alimi 1559 . . 3
1514a7s 1735 . 2
162, 15syl 15 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4  wal 1540 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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 This theorem depends on definitions:  df-bi 177  df-ex 1542  df-nf 1545 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator