Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
ℂcc 11050 -cneg 11387 |
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 2708 ax-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11109 ax-1cn 11110 ax-icn 11111 ax-addcl 11112 ax-addrcl 11113 ax-mulcl 11114 ax-mulrcl 11115 ax-mulcom 11116 ax-addass 11117 ax-mulass 11118 ax-distr 11119 ax-i2m1 11120 ax-1ne0 11121 ax-1rid 11122 ax-rnegex 11123 ax-rrecex 11124 ax-cnre 11125 ax-pre-lttri 11126 ax-pre-lttrn 11127 ax-pre-ltadd 11128 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-reu 3355 df-rab 3409 df-v 3448 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-riota 7314 df-ov 7361 df-oprab 7362 df-mpo 7363 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 df-sub 11388 df-neg 11389 |
This theorem is referenced by: negcon1ad
11508 mulsubaddmulsub
11620 recextlem1
11786 mul2lt0rlt0
13018 xov1plusxeqvd
13416 ceim1l
13753 modnegd
13832 expaddzlem
14012 cjreb
15009 sqrtneg
15153 max0add
15196 reusq0
15348 iseraltlem2
15568 iseraltlem3
15569 fsumsub
15674 telfsumo2
15689 incexc
15723 incexc2
15724 fallrisefac
15909 binomrisefac
15926 efi4p
16020 oexpneg
16228 bitscmp
16319 bitsf1
16327 pcadd2
16763 gznegcl
16808 mulgdirlem
18908 mulgdir
18909 znunit
20973 cphsqrtcl2
24553 pjthlem1
24804 mbfsub
25029 iblcnlem1
25155 itgcnlem
25157 iblneg
25170 itgneg
25171 iblsub
25189 itgsub
25193 ditgcl
25225 dvrec
25322 dvmptsub
25334 dvrecg
25340 dvmptdiv
25341 dvsincos
25348 rolle
25357 vieta1lem2
25674 vieta1
25675 sinmpi
25847 cosmpi
25848 sinppi
25849 cosppi
25850 tanabsge
25866 efeq1
25887 tanord
25897 logtayl
26018 logtayl2
26020 logccv
26021 cxpneg
26039 cxpmul2z
26049 logreclem
26115 cosangneg2d
26160 isosctrlem2
26172 isosctrlem3
26173 angpieqvdlem
26181 quad2
26192 dcubic1lem
26196 dcubic2
26197 dcubic
26199 mcubic
26200 dquartlem1
26204 dquartlem2
26205 dquart
26206 quartlem1
26210 quartlem2
26211 quartlem3
26212 quartlem4
26213 quart
26214 asinlem
26221 asinlem2
26222 asinneg
26239 sinasin
26242 cosasin
26257 atandmneg
26259 tanatan
26272 atandmtan
26273 atantan
26276 atantayl
26290 zetacvg
26367 dmgmaddnn0
26379 lgamgulmlem2
26382 lgamgulmlem4
26384 lgambdd
26389 lgamucov
26390 ftalem4
26428 ftalem5
26429 ftalem7
26431 basellem5
26437 chpdifbndlem1
26904 padicabvcxp
26983 brbtwn2
27857 ipasslem2
29777 pjhthlem1
30336 divnumden2
31717 archirngz
32028 madjusmdetlem4
32414 circlemeth
33256 logdivsqrle
33266 poimirlem29
36110 dvtan
36131 itg2addnclem3
36134 iblsubnc
36142 itgsubnc
36143 itgmulc2nc
36149 ftc1anclem5
36158 ftc1anclem8
36161 dvasin
36165 areacirclem1
36169 lcmineqlem10
40498 lcmineqlem12
40500 dffltz
40975 3cubeslem3r
41013 pell1234qrreccl
41180 pell14qrdich
41195 rmxyneg
41247 acongsym
41303 jm2.26a
41327 jm2.26lem3
41328 expgrowth
42622 binomcxplemdvbinom
42640 binomcxplemnotnn0
42643 sineq0ALT
43226 fzisoeu
43541 fperiodmul
43545 isumneg
43850 climneg
43858 neglimc
43895 sublimc
43900 reclimc
43901 dvcosre
44160 dvcosax
44174 itgsin0pilem1
44198 itgsinexplem1
44202 itgsincmulx
44222 stoweidlem13
44261 stirlinglem5
44326 dirkertrigeqlem3
44348 fourierdlem30
44385 fourierdlem39
44394 fourierdlem40
44395 fourierdlem41
44396 fourierdlem43
44398 fourierdlem47
44401 fourierdlem48
44402 fourierdlem49
44403 fourierdlem73
44427 fourierdlem78
44432 fourierdlem92
44446 fourierdlem101
44455 fourierdlem103
44457 fourierdlem111
44465 sqwvfoura
44476 fouriersw
44479 etransclem17
44499 etransclem18
44500 etransclem23
44505 etransclem46
44528 sigarms
45104 sigaradd
45114 sqrtnegnre
45546 quad1
45819 requad01
45820 requad1
45821 requad2
45822 oexpnegALTV
45876 oexpnegnz
45877 2zrngagrp
46248 altgsumbc
46435 dignn0flhalflem1
46708 line2ylem
46844 itschlc0yqe
46853 itsclc0yqsol
46857 itschlc0xyqsol
46860 amgmwlem
47256 |