| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2107 class class class wbr 5149
ℝcr 11109 ≤
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-resscn 11167 ax-pre-lttri 11184 |
| This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 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-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: 1le1
11842 elimge0
12053 lemul1a
12068 0le0
12313 dfuzi
12653 fldiv4p1lem1div2
13800 facwordi
14249 sincos2sgn
16137 strle1
17091 cnfldfunALTOLD
20958 dscmet
24081 tanabsge
26016 logneg
26096 log2ublem2
26452 emcllem6
26505 harmonicbnd3
26512 ppiublem2
26706 chebbnd1lem3
26974 rpvmasumlem
26990 axlowdimlem6
28205 umgrupgr
28363 umgrislfupgr
28383 usgrislfuspgr
28444 usgr2pthlem
29020 konigsberglem4
29508 pfx1s2
32105 lmat22e12
32799 lmat22e21
32800 lmat22e22
32801 oddpwdc
33353 tgoldbachgt
33675 bj-pinftynminfty
36108 lhe4.4ex1a
43088 limsup10exlem
44488 fourierdlem112
44934 salexct3
45058 salgensscntex
45060 0ome
45245 wtgoldbnnsum4prm
46470 bgoldbnnsum3prm
46472 |
