Metamath Proof Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >  sbco2OLD Structured version   Unicode version

Theorem sbco2OLD 2135
 Description: Obsolete proof of sbco2 2134 as of 17-Sep-2018. (Contributed by NM, 30-Jun-1994.) (Revised by Mario Carneiro, 6-Oct-2016.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
sbco2.1
Assertion
Ref Expression
sbco2OLD

Proof of Theorem sbco2OLD
StepHypRef Expression
1 sbco2.1 . . . . . 6
21sbid2 2131 . . . . 5
3 sbequ 2090 . . . . 5
42, 3syl5bbr 259 . . . 4
5 sbequ12 1961 . . . 4
64, 5bitr3d 255 . . 3
76sps 1814 . 2
8 nfnae 2031 . . . 4
91nfs1 2077 . . . . 5
109nfsb4 2104 . . . 4
114a1i 11 . . . 4
128, 10, 11sbied 2125 . . 3
1312bicomd 201 . 2
147, 13pm2.61i 164 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wb 184  wal 1377  wnf 1599  wsb 1711 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-10 1786  ax-11 1791  ax-12 1803  ax-13 1968 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-ex 1597  df-nf 1600  df-sb 1712 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator