Colors of
variables: wff
setvar class |
Syntax hints: ¬ wn 3 → wi 4
↔ wb 205 ∧
wa 397 ∨ wo 846
= wceq 1542 ∈
wcel 2107 ≠ wne 2940
class class class wbr 5106 Or wor 5545
ℝcr 11055 <
clt 11194 |
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 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11113 ax-pre-lttri 11130 ax-pre-lttrn 11131 |
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 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3446 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-po 5546 df-so 5547 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-er 8651 df-en 8887 df-dom 8888 df-sdom 8889 df-pnf 11196 df-mnf 11197 df-ltxr 11199 |
This theorem is referenced by: ne0gt0
11265 lttri2i
11274 lttri2d
11299 cshwshashlem3
16975 gsummoncoe1
21691 mp2pm2mplem4
22174 chfacfscmulgsum
22225 chfacfpmmulgsum
22229 dvne0
25391 relogbf
26157 atanlogsub
26282 nn0prpw
34841 itg2addnclem2
36176 12gcd5e1
40506 sticksstones1
40600 sticksstones2
40601 nerabdioph
41175 rpnnen3
41399 fmul01lt1lem1
43911 |