Colors of
variables: wff set class |
Syntax hints: wi 4
wcel 2148
cr 7809
cneg 8128 |
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 4121 ax-pow 4174 ax-pr 4209 ax-setind 4536 ax-resscn 7902 ax-1cn 7903 ax-icn 7905 ax-addcl 7906 ax-addrcl 7907 ax-mulcl 7908 ax-addcom 7910 ax-addass 7912 ax-distr 7914 ax-i2m1 7915 ax-0id 7918 ax-rnegex 7919 ax-cnre 7921 |
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 2739 df-sbc 2963 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-id 4293 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-iota 5178 df-fun 5218 df-fv 5224 df-riota 5830 df-ov 5877 df-oprab 5878 df-mpo 5879 df-sub 8129 df-neg 8130 |
This theorem is referenced by: eqord2
8440 possumd
8525 reapmul1
8551 reapneg
8553 apneg
8567 mulext1
8568 recgt0
8806 prodgt0
8808 prodge0
8810 negiso
8911 nnnegz
9255 peano2z
9288 nn0negleid
9320 difgtsumgt
9321 supinfneg
9594 infsupneg
9595 monoord2
10476 recj
10875 reneg
10876 imcj
10883 imneg
10884 cjap
10914 resqrexlemcalc3
11024 resqrexlemgt0
11028 abslt
11096 absle
11097 minmax
11237 mincl
11238 lemininf
11241 ltmininf
11242 bdtri
11247 xrmaxaddlem
11267 xrminrpcl
11281 climge0
11332 cos12dec
11774 absefib
11777 efieq1re
11778 dvdslelemd
11848 infssuzex
11949 zsupssdc
11954 mulgnegnn
12992 ivthdec
14092 coseq0negpitopi
14227 cosq34lt1
14241 rpabscxpbnd
14329 lgsneg
14395 lgsdilem
14398 lgseisenlem1
14420 |