| Colors of
variables: wff
setvar class |
| Syntax hints: ¬ wn 3 ∈ wcel 2099
class class class wbr 5148 ℝcr 11137
< clt 11278 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-resscn 11195 ax-pre-lttri 11212 ax-pre-lttrn 11213 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-po 5590 df-so 5591 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-er 8724 df-en 8964 df-dom 8965 df-sdom 8966 df-pnf 11280 df-mnf 11281 df-ltxr 11283 |
| This theorem is referenced by: lt0ne0d
11809 prodgt0
12091 elnnnn0b
12546 0nrp
13041 geolim
15848 geolim2
15849 georeclim
15850 geoisum1c
15858 0ringnnzr
20461 dscopn
24481 logcnlem3
26577 jensen
26920 gausslemma2dlem0i
27296 2sqreultblem
27380 2sqreunnltblem
27383 ostth
27571 tgcgr4
28334 clwwlkn0
29837 konigsberg
30066 signswch
34193 signlem0
34219 poimirlem32
37125 oexpreposd
41881 pell1qrgaplem
42293 relexp01min
43143 rexanuz2nf
44875 sbgoldbaltlem1
47119 ex-gt
48159 |
