| Colors of
variables: wff
setvar class |
| Syntax hints: ¬ wn 3 ∈ wcel 2098
class class class wbr 5139 ℝcr 11106
< clt 11247 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-sep 5290 ax-nul 5297 ax-pow 5354 ax-pr 5418 ax-un 7719 ax-resscn 11164 ax-pre-lttri 11181 ax-pre-lttrn 11182 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-rab 3425 df-v 3468 df-sbc 3771 df-csb 3887 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-nul 4316 df-if 4522 df-pw 4597 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-br 5140 df-opab 5202 df-mpt 5223 df-id 5565 df-po 5579 df-so 5580 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-rn 5678 df-res 5679 df-ima 5680 df-iota 6486 df-fun 6536 df-fn 6537 df-f 6538 df-f1 6539 df-fo 6540 df-f1o 6541 df-fv 6542 df-er 8700 df-en 8937 df-dom 8938 df-sdom 8939 df-pnf 11249 df-mnf 11250 df-ltxr 11252 |
| This theorem is referenced by: lt0ne0d
11778 prodgt0
12060 elnnnn0b
12515 0nrp
13010 geolim
15818 geolim2
15819 georeclim
15820 geoisum1c
15828 0ringnnzr
20421 dscopn
24426 logcnlem3
26518 jensen
26861 gausslemma2dlem0i
27237 2sqreultblem
27321 2sqreunnltblem
27324 ostth
27512 tgcgr4
28275 clwwlkn0
29775 konigsberg
30004 signswch
34091 signlem0
34117 poimirlem32
37023 oexpreposd
41749 pell1qrgaplem
42161 relexp01min
43013 rexanuz2nf
44748 sbgoldbaltlem1
46992 ex-gt
48020 |
