Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 class class class wbr 5149
0cc0 11110 +∞cpnf 11245
ℝ*cxr 11247
≤ cle 11249 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-ext 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-cnex 11166 ax-resscn 11167 ax-1cn 11168 ax-addrcl 11171 ax-rnegex 11181 ax-cnre 11183 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-xp 5683 df-cnv 5685 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 |
This theorem is referenced by: xnn0ge0
13113 xsubge0
13240 xadddi2
13276 xnn0xrge0
13483 pcge0
16795 leordtval2
22716 iccpnfcnv
24460 taylfval
25871 elxrge02
32098 xrge0adddir
32193 xrge0iifcnv
32913 lmxrge0
32932 esumpinfval
33071 hashf2
33082 esumcvg
33084 aks4d1p1p6
40938 pnfel0pnf
44241 |