Colors of
variables: wff
setvar class |
Syntax hints: ¬ wn 3 → wi 4
↔ wb 205 ∧
wa 394 ∨ wo 843
= wceq 1539 ∈
wcel 2104 ≠ wne 2938
class class class wbr 5147 Or wor 5586
ℝcr 11111 <
clt 11252 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 ax-resscn 11169 ax-pre-lttri 11186 ax-pre-lttrn 11187 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-rab 3431 df-v 3474 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-br 5148 df-opab 5210 df-mpt 5231 df-id 5573 df-po 5587 df-so 5588 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-er 8705 df-en 8942 df-dom 8943 df-sdom 8944 df-pnf 11254 df-mnf 11255 df-ltxr 11257 |
This theorem is referenced by: ne0gt0
11323 lttri2i
11332 lttri2d
11357 cshwshashlem3
17035 gsummoncoe1
22048 mp2pm2mplem4
22531 chfacfscmulgsum
22582 chfacfpmmulgsum
22586 dvne0
25763 relogbf
26532 atanlogsub
26657 nn0prpw
35511 itg2addnclem2
36843 12gcd5e1
41174 sticksstones1
41268 sticksstones2
41269 nerabdioph
41849 rpnnen3
42073 fmul01lt1lem1
44598 |