Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5106 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-10 2138 ax-11 2155 ax-12 2172 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-pre-lttri 11126 ax-pre-lttrn 11127 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-rab 3409 df-v 3448 df-sbc 3741 df-csb 3857 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-mpt 5190 df-id 5532 df-po 5546 df-so 5547 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 df-le 11196 |
This theorem is referenced by: xleadd1a
13173 supxrre
13247 infxrre
13256 ioounsn
13395 snunioo
13396 snunico
13397 limsupgre
15364 limsupbnd1
15365 limsupbnd2
15366 pcdvdstr
16749 pcadd
16762 imasdsf1olem
23729 blssps
23780 blss
23781 blcld
23864 nmolb
24084 metds0
24216 metdstri
24217 metdseq0
24220 itg2eqa
25113 mdeglt
25433 deg1lt
25465 eliccelico
31683 elicoelioo
31684 difioo
31688 xrge0omnd
31922 esumpmono
32681 signsply0
33166 iocinico
41549 xadd0ge
43561 infxrpnf
43688 monoordxrv
43724 iooiinioc
43801 icossico2
43809 limcresiooub
43890 liminflelimsupuz
44033 ismbl4
44241 sge0prle
44649 iunhoiioo
44924 iccpartleu
45627 iccpartgel
45628 iccdisj2
46937 |