Colors of
variables: wff set class |
Syntax hints:
wb 105
wcel 2148
class class class wbr 4004 cr 7810 cc0 7811 c1 7812 cltrr 7815 clt 7992 |
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 4122 ax-pow 4175 ax-pr 4210 ax-un 4434 ax-setind 4537 ax-cnex 7902 ax-resscn 7903 ax-1re 7905 ax-addrcl 7908 ax-0lt1 7917 ax-rnegex 7920 |
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 2740 df-dif 3132 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-br 4005 df-opab 4066 df-xp 4633 df-pnf 7994 df-mnf 7995 df-ltxr 7997 |
This theorem is referenced by: ine0
8351 0le1
8438 inelr
8541 1ap0
8547 eqneg
8689 ltp1
8801 ltm1
8803 recgt0
8807 mulgt1
8820 reclt1
8853 recgt1
8854 recgt1i
8855 recp1lt1
8856 recreclt
8857 sup3exmid
8914 nnge1
8942 nngt0
8944 0nnn
8946 nnrecgt0
8957 0ne1
8986 2pos
9010 3pos
9013 4pos
9016 5pos
9019 6pos
9020 7pos
9021 8pos
9022 9pos
9023 neg1lt0
9027 halflt1
9136 nn0p1gt0
9205 elnnnn0c
9221 elnnz1
9276 recnz
9346 1rp
9657 divlt1lt
9724 divle1le
9725 ledivge1le
9726 nnledivrp
9766 fz10
10046 fzpreddisj
10071 elfz1b
10090 modqfrac
10337 expgt1
10558 ltexp2a
10572 leexp2a
10573 expnbnd
10644 expnlbnd
10645 expnlbnd2
10646 nn0ltexp2
10689 expcanlem
10695 expcan
10696 bcn1
10738 resqrexlem1arp
11014 mulcn2
11320 reccn2ap
11321 georeclim
11521 geoisumr
11526 cos1bnd
11767 sin01gt0
11769 sincos1sgn
11772 p1modz1
11801 nnoddm1d2
11915 dvdsnprmd
12125 divdenle
12197 mopnex
14008 reeff1olem
14195 cos02pilt1
14275 rplogcl
14303 cxplt
14339 cxple
14340 ltexp2
14363 apdiff
14799 |