Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 class class class wbr 5106
0cc0 11052 +∞cpnf 11187
ℝ*cxr 11189
≤ cle 11191 |
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 2708 ax-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-cnex 11108 ax-resscn 11109 ax-1cn 11110 ax-addrcl 11113 ax-rnegex 11123 ax-cnre 11125 |
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 2715 df-cleq 2729 df-clel 2815 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-rab 3409 df-v 3448 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-xp 5640 df-cnv 5642 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 df-le 11196 |
This theorem is referenced by: xnn0ge0
13055 xsubge0
13181 xadddi2
13217 xnn0xrge0
13424 pcge0
16735 leordtval2
22566 iccpnfcnv
24310 taylfval
25721 elxrge02
31791 xrge0adddir
31886 xrge0iifcnv
32517 lmxrge0
32536 esumpinfval
32675 hashf2
32686 esumcvg
32688 aks4d1p1p6
40533 pnfel0pnf
43773 |