Colors of
variables: wff set class |
Syntax hints: wi 4
wceq 1353
wcel 2148
(class class class)co 5877 cc 7811 cc0 7813 cmul 7818 |
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-14 2151 ax-ext 2159 ax-sep 4123 ax-pow 4176 ax-pr 4211 ax-setind 4538 ax-resscn 7905 ax-1cn 7906 ax-icn 7908 ax-addcl 7909 ax-addrcl 7910 ax-mulcl 7911 ax-addcom 7913 ax-mulcom 7914 ax-addass 7915 ax-distr 7917 ax-i2m1 7918 ax-0id 7921 ax-rnegex 7922 ax-cnre 7924 |
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-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2741 df-sbc 2965 df-dif 3133 df-un 3135 df-in 3137 df-ss 3144 df-pw 3579 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-br 4006 df-opab 4067 df-id 4295 df-xp 4634 df-rel 4635 df-cnv 4636 df-co 4637 df-dm 4638 df-iota 5180 df-fun 5220 df-fv 5226 df-riota 5833 df-ov 5880 df-oprab 5881 df-mpo 5882 df-sub 8132 |
This theorem is referenced by: mulneg1
8354 mulap0r
8574 mulap0
8613 un0mulcl
9212 mul2lt0rgt0
9762 mul2lt0np
9765 lincmb01cmp
10005 iccf1o
10006 bcval5
10745 hashxp
10808 remul2
10884 immul2
10891 fsumconst
11464 binomlem
11493 fprodeq0
11627 fprodeq0g
11648 efne0
11688 dvds0
11815 mulmoddvds
11871 mulgcd
12019 bezoutr1
12036 lcmgcd
12080 qnumgt0
12200 pcexp
12311 mulgnn0ass
13024 dvmptcmulcn
14222 dvef
14227 sin0pilem1
14241 sinhalfpip
14280 sinhalfpim
14281 coshalfpip
14282 coshalfpim
14283 lgsdir2
14473 lgsdir
14475 lgsdirnn0
14487 lgsdinn0
14488 |