Colors of
variables: wff set class |
Syntax hints: wn 3
wi 4
wa 104
wb 105 wcel 2148 class class class wbr 4004
cr 7810
cxr 7991
clt 7992
cle 7993 |
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 4122 ax-pow 4175 ax-pr 4210 |
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 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-br 4005 df-opab 4066 df-xp 4633 df-cnv 4635 df-xr 7996 df-le 7998 |
This theorem is referenced by: letri3
8038 ltleletr
8039 letr
8040 leid
8041 eqlelt
8044 ltle
8045 lelttr
8046 ltletr
8047 lenlti
8058 lenltd
8075 lemul1
8550 msqge0
8573 mulge0
8576 ltleap
8589 recgt0
8807 lediv1
8826 dfinfre
8913 nnge1
8942 nnnlt1
8945 avgle1
9159 avgle2
9160 nn0nlt0
9202 zltnle
9299 zleloe
9300 zdcle
9329 recnz
9346 btwnnz
9347 prime
9352 fznlem
10041 fzonlt0
10167 qltnle
10246 bcval4
10732 resqrexlemgt0
11029 climge0
11333 infpnlem1
12357 efle
14200 logleb
14299 cxple
14340 cxple3
14344 lgsval2lem
14414 lgsneg
14428 lgsdilem
14431 supfz
14821 inffz
14822 |