Colors of
variables: wff
setvar class |
Syntax hints: ¬ wn 3 → wi 4
↔ wb 205 ∧
wa 397 ∨ wo 846
= wceq 1542 ∈
wcel 2107 ≠ wne 2941
class class class wbr 5149 Or wor 5588
ℝcr 11109 <
clt 11248 |
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 ax-pre-lttrn 11185 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 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-po 5589 df-so 5590 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-ltxr 11253 |
This theorem is referenced by: ne0gt0
11319 lttri2i
11328 lttri2d
11353 cshwshashlem3
17031 gsummoncoe1
21828 mp2pm2mplem4
22311 chfacfscmulgsum
22362 chfacfpmmulgsum
22366 dvne0
25528 relogbf
26296 atanlogsub
26421 nn0prpw
35208 itg2addnclem2
36540 12gcd5e1
40868 sticksstones1
40962 sticksstones2
40963 nerabdioph
41547 rpnnen3
41771 fmul01lt1lem1
44300 |