Colors of
variables: wff set class |
Syntax hints: wn 3
wi 4
wa 104
wb 105 wo 708 wceq 1353 wcel 2148 class class class wbr 4003
cr 7809
clt 7991 |
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 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 ax-setind 4536 ax-cnex 7901 ax-resscn 7902 ax-pre-ltirr 7922 ax-pre-apti 7925 |
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 4004 df-opab 4065 df-xp 4632 df-pnf 7993 df-mnf 7994 df-ltxr 7996 |
This theorem is referenced by: letri3
8037 lttri3i
8054 lttri3d
8071 inelr
8540 lbinf
8904 suprubex
8907 suprlubex
8908 suprleubex
8910 sup3exmid
8913 suprzclex
9350 infrenegsupex
9593 supminfex
9596 infregelbex
9597 xrlttri3
9796 maxleim
11213 maxabs
11217 maxleast
11221 zsupcl
11947 zssinfcl
11948 infssuzledc
11950 suprzcl2dc
11955 dvdslegcd
11964 bezoutlemsup
12009 dfgcd2
12014 lcmgcdlem
12076 suplociccex
14073 pilem3
14174 taupi
14790 |