Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 ℝcr 11109
1c1 11111 -cneg 11445 |
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-1cn 11168 ax-icn 11169 ax-addcl 11170 ax-addrcl 11171 ax-mulcl 11172 ax-mulrcl 11173 ax-mulcom 11174 ax-addass 11175 ax-mulass 11176 ax-distr 11177 ax-i2m1 11178 ax-1ne0 11179 ax-1rid 11180 ax-rnegex 11181 ax-rrecex 11182 ax-cnre 11183 ax-pre-lttri 11184 ax-pre-lttrn 11185 ax-pre-ltadd 11186 |
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-reu 3378 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-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-ltxr 11253 df-sub 11446 df-neg 11447 |
This theorem is referenced by: dfceil2
13804 bernneq
14192 crre
15061 remim
15064 iseraltlem2
15629 iseraltlem3
15630 iseralt
15631 tanhbnd
16104 sinbnd2
16125 cosbnd2
16126 psgnodpmr
21143 xrhmeo
24462 xrhmph
24463 vitalilem2
25126 vitalilem4
25128 vitali
25130 mbfneg
25167 i1fsub
25226 itg1sub
25227 i1fibl
25325 itgitg1
25326 cos0pilt1
26041 recosf1o
26044 efif1olem3
26053 relogbdiv
26284 ang180lem3
26316 1cubrlem
26346 atanre
26390 acosrecl
26408 atandmcj
26414 leibpilem2
26446 leibpi
26447 leibpisum
26448 wilthlem1
26572 wilthlem2
26573 basellem3
26587 zabsle1
26799 lgsvalmod
26819 lgsdir2lem4
26831 gausslemma2dlem6
26875 lgseisen
26882 ostth3
27141 axlowdimlem7
28206 ipidsq
29963 ipasslem10
30092 hisubcomi
30357 normlem9
30371 hmopd
31275 sgnclre
33538 sgnnbi
33544 sgnpbi
33545 sgnsgn
33547 signswch
33572 signstf
33577 signsvfn
33593 subfacval2
34178 iexpire
34705 bcneg1
34706 cnndvlem1
35413 irrdiff
36207 ftc1anclem5
36565 asindmre
36571 dvasin
36572 dvacos
36573 dvreasin
36574 dvreacos
36575 areacirclem1
36576 2xp3dxp2ge1d
41022 sqrtcval
42392 sqrtcval2
42393 resqrtval
42394 imsqrtval
42395 stoweidlem22
44738 etransclem46
44996 smfneg
45519 3exp4mod41
46284 |