Colors of
variables: wff set class |
Syntax hints: wi 4
wo 708
wceq 1353
wcel 2148
cpnf 7988
cxr 7990
cn0 9175
NN0*cxnn0 9238 |
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-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-pow 4174 ax-un 4433 ax-cnex 7901 ax-resscn 7902 ax-1re 7904 ax-addrcl 7907 ax-rnegex 7919 |
This theorem depends on definitions:
df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2739 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-uni 3810 df-int 3845 df-pnf 7993 df-xr 7995 df-inn 8919 df-n0 9176 df-xnn0 9239 |
This theorem is referenced by: xnn0xrnemnf
9250 xnn0dcle
9801 xnn0letri
9802 |