Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 397 = wceq 1542
∈ wcel 2107 class class class wbr 5149
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-10 2138 ax-11 2155 ax-12 2172 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-pre-lttri 11184 ax-pre-lttrn 11185 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 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-mpt 5233 df-id 5575 df-po 5589 df-so 5590 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 |
This theorem is referenced by: supxrre
13306 infxrre
13315 ixxub
13345 ixxlb
13346 pcadd2
16823 psmetsym
23816 xmetsym
23853 imasdsf1olem
23879 ovolunnul
25017 ovolicc
25040 voliunlem3
25069 uniioovol
25096 uniiccvol
25097 ismbfd
25156 mbflimsup
25183 itg2itg1
25254 itg2seq
25260 itg2eqa
25263 itg2split
25267 itg2mono
25271 deg1add
25621 deg1mul2
25632 deg1tm
25636 xrgepnfd
44041 supxrge
44048 infxrpnf
44156 eliccnelico
44242 liminfgelimsup
44498 liminfgelimsupuz
44504 liminflimsupclim
44523 xlimliminflimsup
44578 ismbl4
44709 rrxsnicc
45016 sge0fsum
45103 sge0split
45125 sge0iunmptlemre
45131 sge0isum
45143 sge0xaddlem2
45150 sge0reuz
45163 meale0eq0
45194 carageniuncl
45239 caratheodorylem2
45243 caragenel2d
45248 omess0
45250 ovn0lem
45281 hoidmv1lelem2
45308 hoidmv1lelem3
45309 hoidmvlelem4
45314 ovnhoi
45319 ovolval2lem
45359 ovolval5lem3
45370 |