Colors of
variables: wff set class |
Syntax hints: wi 4
wceq 1353
wcel 2148
wne 2347
cr 7809
cpnf 7988 |
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 4121 ax-un 4433 ax-cnex 7901 ax-resscn 7902 |
This theorem depends on definitions:
df-bi 117 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-nel 2443 df-rex 2461 df-rab 2464 df-v 2739 df-in 3135 df-ss 3142 df-pw 3577 df-uni 3810 df-pnf 7993 |
This theorem is referenced by: renepnfd
8007 renfdisj
8016 ltxrlt
8022 xrnepnf
9777 xrlttri3
9796 nltpnft
9813 xrrebnd
9818 rexneg
9829 xrpnfdc
9841 rexadd
9851 xaddnepnf
9857 xaddcom
9860 xaddid1
9861 xnn0xadd0
9866 xnegdi
9867 xpncan
9870 xleadd1a
9872 xltadd1
9875 xsubge0
9880 xposdif
9881 xleaddadd
9886 xrmaxrecl
11262 |