Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wb 105 wceq 1353 wcel 2148 wrex 2456 (class class class)co 5877
cc 7811
cr 7812
cc0 7813
caddc 7816 cmin 8130 cneg 8131 |
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-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 df-neg 8133 |
This theorem is referenced by: renegcli
8221 resubcl
8223 negreb
8224 renegcld
8339 negf1o
8341 ltnegcon1
8422 ltnegcon2
8423 lenegcon1
8425 lenegcon2
8426 mullt0
8439 recexre
8537 elnnz
9265 btwnz
9374 supinfneg
9597 infsupneg
9598 supminfex
9599 ublbneg
9615 negm
9617 rpnegap
9688 negelrp
9689 xnegcl
9834 xnegneg
9835 xltnegi
9837 rexsub
9855 xnegid
9861 xnegdi
9870 xpncan
9873 xnpcan
9874 xposdif
9884 iooneg
9990 iccneg
9991 icoshftf1o
9993 crim
10869 absnid
11084 absdiflt
11103 absdifle
11104 dfabsmax
11228 max0addsup
11230 negfi
11238 minmax
11240 mincl
11241 min1inf
11242 min2inf
11243 minabs
11246 minclpr
11247 mingeb
11252 xrminrecl
11283 xrminrpcl
11284 infssuzex
11952 |