Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∨ wo 846 = wceq 1542
∈ wcel 2107 class class class wbr 5149
ℝ*cxr 11247
< clt 11248 ≤
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: xrltled
13129 xrletri
13132 xrletr
13137 qextltlem
13181 xmulge0
13263 supxrunb1
13298 ico0
13370 ioc0
13371 ioossicc
13410 icossicc
13413 iocssicc
13414 ioossico
13415 snunioo
13455 snunico
13456 ioopnfsup
13829 icopnfsup
13830 hashnnn0genn0
14303 leordtval2
22716 lecldbas
22723 blcls
24015 stdbdxmet
24024 stdbdmopn
24027 metcnpi3
24055 xrsmopn
24328 metnrmlem1a
24374 bndth
24474 ovolgelb
24997 icombl
25081 ioorf
25090 ioorinv2
25092 itg2seq
25260 tanord1
26046 dvloglem
26156 iocinif
32023 esumpinfsum
33106 omssubadd
33330 elicc3
35250 tan2h
36528 heicant
36571 itg2addnclem
36587 radcnvrat
43121 ioossioc
44253 ioossioobi
44278 fouriersw
44995 iccpartnel
46154 i0oii
47600 io1ii
47601 |