Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  cbvex2OLD Structured version   Unicode version

Theorem cbvex2OLD 2030
 Description: Obsolete proof of cbvex2 2029 as of 16-Jun-2019. (Contributed by NM, 14-Sep-2003.) (Revised by Mario Carneiro, 6-Oct-2016.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
cbval2.1
cbval2.2
cbval2.3
cbval2.4
cbval2.5
Assertion
Ref Expression
cbvex2OLD
Distinct variable groups:   ,   ,   ,   ,
Allowed substitution hints:   (,,,)   (,,,)

Proof of Theorem cbvex2OLD
StepHypRef Expression
1 cbval2.1 . . 3
21nfex 1949 . 2
3 cbval2.3 . . 3
43nfex 1949 . 2
5 nfv 1708 . . . . . 6
6 cbval2.2 . . . . . 6
75, 6nfan 1929 . . . . 5
8 nfv 1708 . . . . . 6
9 cbval2.4 . . . . . 6
108, 9nfan 1929 . . . . 5
11 cbval2.5 . . . . . . 7
1211expcom 435 . . . . . 6
1312pm5.32d 639 . . . . 5
147, 10, 13cbvex 2023 . . . 4
15 19.42v 1776 . . . 4
16 19.42v 1776 . . . 4
1714, 15, 163bitr3i 275 . . 3
18 pm5.32 636 . . 3
1917, 18mpbir 209 . 2
202, 4, 19cbvex 2023 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 184   wa 369  wex 1613  wnf 1617 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1619  ax-4 1632  ax-5 1705  ax-6 1748  ax-7 1791  ax-10 1838  ax-11 1843  ax-12 1855  ax-13 2000 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1614  df-nf 1618 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator