| Colors of
variables: wff
setvar class |
| Syntax hints: ¬ wn 3 ∈ wcel 2106
class class class wbr 5148 ℝcr 11108
< clt 11247 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7724 ax-resscn 11166 ax-pre-lttri 11183 ax-pre-lttrn 11184 |
| This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ne 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-po 5588 df-so 5589 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-er 8702 df-en 8939 df-dom 8940 df-sdom 8941 df-pnf 11249 df-mnf 11250 df-ltxr 11252 |
| This theorem is referenced by: lt0ne0d
11778 prodgt0
12060 elnnnn0b
12515 0nrp
13008 geolim
15815 geolim2
15816 georeclim
15817 geoisum1c
15825 0ringnnzr
20301 dscopn
24081 logcnlem3
26151 jensen
26490 gausslemma2dlem0i
26864 2sqreultblem
26948 2sqreunnltblem
26951 ostth
27139 tgcgr4
27779 clwwlkn0
29278 konigsberg
29507 signswch
33567 signlem0
33593 poimirlem32
36515 oexpreposd
41212 pell1qrgaplem
41601 relexp01min
42454 rexanuz2nf
44193 sbgoldbaltlem1
46437 ex-gt
47763 |
