Colors of
variables: wff set class |
Syntax hints: wn 3
wi 4
wa 104
wb 105 wcel 2148 class class class wbr 4003
cr 7809
cxr 7990
clt 7991
cle 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-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 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-ral 2460 df-rex 2461 df-v 2739 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-br 4004 df-opab 4065 df-xp 4632 df-cnv 4634 df-xr 7995 df-le 7997 |
This theorem is referenced by: letri3
8037 ltleletr
8038 letr
8039 leid
8040 eqlelt
8043 ltle
8044 lelttr
8045 ltletr
8046 lenlti
8057 lenltd
8074 lemul1
8549 msqge0
8572 mulge0
8575 ltleap
8588 recgt0
8806 lediv1
8825 dfinfre
8912 nnge1
8941 nnnlt1
8944 avgle1
9158 avgle2
9159 nn0nlt0
9201 zltnle
9298 zleloe
9299 zdcle
9328 recnz
9345 btwnnz
9346 prime
9351 fznlem
10040 fzonlt0
10166 qltnle
10245 bcval4
10731 resqrexlemgt0
11028 climge0
11332 infpnlem1
12356 efle
14167 logleb
14266 cxple
14307 cxple3
14311 lgsval2lem
14381 lgsneg
14395 lgsdilem
14398 supfz
14788 inffz
14789 |