| Colors of
variables: wff set class |
Syntax hints:  wn 3
 wi 4
![/\](wedge.gif "/\") wa 104
 wo 708
w3a 978
 wtru 1354
 wcel 2148
 wral 2455
class class class wbr 4002  wpo 4293  wor 4294  cr 7807  clt 7988 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4120 ax-pow 4173 ax-pr 4208 ax-un 4432 ax-setind 4535 ax-cnex 7899 ax-resscn 7900 ax-pre-ltirr 7920 ax-pre-ltwlin 7921 ax-pre-lttrn 7922 |
| This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-nel 2443 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4003 df-opab 4064 df-po 4295 df-iso 4296 df-xp 4631 df-pnf 7990 df-mnf 7991 df-ltxr 7993 |
| This theorem is referenced by: gtso
8032 ltnsym2
8044 suprlubex
8905 fimaxq
10800 |
are mutually distinct and distinct from all other
variables.
