Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 class class class wbr 5104
(class class class)co 7350 ℝcr 10984
0cc0 10985 +∞cpnf 11120
≤ cle 11124 [,)cico 13195 |
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 2709 ax-sep 5255 ax-nul 5262 ax-pow 5319 ax-pr 5383 ax-un 7663 ax-cnex 11041 ax-resscn 11042 ax-1cn 11043 ax-addrcl 11046 ax-rnegex 11056 ax-cnre 11058 ax-pre-lttri 11059 ax-pre-lttrn 11060 |
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 2540 df-eu 2569 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2888 df-ne 2943 df-nel 3049 df-ral 3064 df-rex 3073 df-rab 3407 df-v 3446 df-sbc 3739 df-csb 3855 df-dif 3912 df-un 3914 df-in 3916 df-ss 3926 df-nul 4282 df-if 4486 df-pw 4561 df-sn 4586 df-pr 4588 df-op 4592 df-uni 4865 df-br 5105 df-opab 5167 df-mpt 5188 df-id 5529 df-po 5543 df-so 5544 df-xp 5637 df-rel 5638 df-cnv 5639 df-co 5640 df-dm 5641 df-rn 5642 df-res 5643 df-ima 5644 df-iota 6444 df-fun 6494 df-fn 6495 df-f 6496 df-f1 6497 df-fo 6498 df-f1o 6499 df-fv 6500 df-ov 7353 df-oprab 7354 df-mpo 7355 df-er 8582 df-en 8818 df-dom 8819 df-sdom 8820 df-pnf 11125 df-mnf 11126 df-xr 11127 df-ltxr 11128 df-le 11129 df-ico 13199 |
This theorem is referenced by: fsumge0
15615 rege0subm
20777 rge0srg
20792 itg2cnlem1
25049 ibladdlem
25107 itgaddlem1
25110 iblabslem
25115 iblabs
25116 iblmulc2
25118 itgmulc2lem1
25119 bddmulibl
25126 itggt0
25131 itgcn
25132 cxpcn3
26024 rlimcnp3
26240 efrlim
26242 fsumrp0cl
31681 xrge0slmod
31934 esumpfinvallem
32447 ibladdnclem
36030 itgaddnclem1
36032 iblabsnclem
36037 iblabsnc
36038 iblmulc2nc
36039 itgmulc2nclem1
36040 itggt0cn
36044 ftc1anclem8
36054 sge0z
44370 sge0tsms
44375 hoidmvcl
44577 dig0
46442 |