Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∨ wo 846 = wceq 1542
∈ wcel 2107 class class class wbr 5106
ℝ*cxr 11189
< clt 11190 ≤
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: xrltled
13070 xrletri
13073 xrletr
13078 qextltlem
13122 xmulge0
13204 supxrunb1
13239 ico0
13311 ioc0
13312 ioossicc
13351 icossicc
13354 iocssicc
13355 ioossico
13356 snunioo
13396 snunico
13397 ioopnfsup
13770 icopnfsup
13771 hashnnn0genn0
14244 leordtval2
22566 lecldbas
22573 blcls
23865 stdbdxmet
23874 stdbdmopn
23877 metcnpi3
23905 xrsmopn
24178 metnrmlem1a
24224 bndth
24324 ovolgelb
24847 icombl
24931 ioorf
24940 ioorinv2
24942 itg2seq
25110 tanord1
25896 dvloglem
26006 iocinif
31687 esumpinfsum
32679 omssubadd
32903 elicc3
34792 tan2h
36073 heicant
36116 itg2addnclem
36132 radcnvrat
42601 ioossioc
43737 ioossioobi
43762 fouriersw
44479 iccpartnel
45637 i0oii
46959 io1ii
46960 |