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Theorem dihopelvalbN 32134
 Description: Ordered pair member of the partial isomorphism H for argument under . (Contributed by NM, 21-Mar-2014.) (New usage is discouraged.)
Hypotheses
Ref Expression
dihval3.b
dihval3.l
dihval3.h
dihval3.t
dihval3.r
dihval3.o
dihval3.i
Assertion
Ref Expression
dihopelvalbN
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()   ()   ()   ()   ()   ()   ()   ()   ()

Proof of Theorem dihopelvalbN
StepHypRef Expression
1 dihval3.b . . . 4
2 dihval3.l . . . 4
3 dihval3.h . . . 4
4 dihval3.i . . . 4
5 eqid 2442 . . . 4
61, 2, 3, 4, 5dihvalb 32133 . . 3
76eleq2d 2509 . 2
8 dihval3.t . . 3
9 dihval3.r . . 3
10 dihval3.o . . 3
111, 2, 3, 8, 9, 10, 5dibopelval3 32044 . 2
127, 11bitrd 246 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 178   wa 360   wceq 1653   wcel 1727  cop 3841   class class class wbr 4237   cmpt 4291   cid 4522   cres 4909  cfv 5483  cbs 13500  cple 13567  clh 30879  cltrn 30996  ctrl 31053  cdib 32034  cdih 32124 This theorem is referenced by:  dihmeetlem1N  32186  dihglblem5apreN  32187  dihmeetlem4preN  32202 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 1627  ax-9 1668  ax-8 1689  ax-13 1729  ax-14 1731  ax-6 1746  ax-7 1751  ax-11 1763  ax-12 1953  ax-ext 2423  ax-rep 4345  ax-sep 4355  ax-nul 4363  ax-pow 4406  ax-pr 4432  ax-un 4730 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-eu 2291  df-mo 2292  df-clab 2429  df-cleq 2435  df-clel 2438  df-nfc 2567  df-ne 2607  df-ral 2716  df-rex 2717  df-reu 2718  df-rab 2720  df-v 2964  df-sbc 3168  df-csb 3268  df-dif 3309  df-un 3311  df-in 3313  df-ss 3320  df-nul 3614  df-if 3764  df-pw 3825  df-sn 3844  df-pr 3845  df-op 3847  df-uni 4040  df-iun 4119  df-br 4238  df-opab 4292  df-mpt 4293  df-id 4527  df-xp 4913  df-rel 4914  df-cnv 4915  df-co 4916  df-dm 4917  df-rn 4918  df-res 4919  df-ima 4920  df-iota 5447  df-fun 5485  df-fn 5486  df-f 5487  df-f1 5488  df-fo 5489  df-f1o 5490  df-fv 5491  df-ov 6113  df-riota 6578  df-disoa 31925  df-dib 32035  df-dih 32125
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