Colors of
variables: wff set class |
Syntax hints: class class
class wbr 4005 (class class class)co 5877
0cc0 7813 1c1 7814
+ caddc 7816 <
clt 7994 2c2 8972
3c3 8973 |
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 4123 ax-pow 4176 ax-pr 4211 ax-un 4435 ax-setind 4538 ax-cnex 7904 ax-resscn 7905 ax-1cn 7906 ax-1re 7907 ax-icn 7908 ax-addcl 7909 ax-addrcl 7910 ax-mulcl 7911 ax-addcom 7913 ax-addass 7915 ax-i2m1 7918 ax-0lt1 7919 ax-0id 7921 ax-rnegex 7922 ax-pre-lttrn 7927 ax-pre-ltadd 7929 |
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 2741 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-xp 4634 df-iota 5180 df-fv 5226 df-ov 5880 df-pnf 7996 df-mnf 7997 df-ltxr 7999 df-2 8980 df-3 8981 |
This theorem is referenced by: 3ne0
9016 3ap0
9017 4pos
9018 8th4div3
9140 halfpm6th
9141 3rp
9661 fz0to4untppr
10126 sqrt9
11059 ef01bndlem
11766 cos2bnd
11770 sin01gt0
11771 cos01gt0
11772 flodddiv4
11941 slotsdifunifndx
12688 coseq0negpitopi
14296 tangtx
14298 sincos6thpi
14302 cos02pilt1
14311 lgsdir2lem1
14468 ex-gcd
14522 |