Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ≠
wne 2940 (class class class)co 7361
ℂcc 11057 0cc0 11059
+ caddc 11062 / cdiv 11820 |
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 5260 ax-nul 5267 ax-pow 5324 ax-pr 5388 ax-un 7676 ax-resscn 11116 ax-1cn 11117 ax-icn 11118 ax-addcl 11119 ax-addrcl 11120 ax-mulcl 11121 ax-mulrcl 11122 ax-mulcom 11123 ax-addass 11124 ax-mulass 11125 ax-distr 11126 ax-i2m1 11127 ax-1ne0 11128 ax-1rid 11129 ax-rnegex 11130 ax-rrecex 11131 ax-cnre 11132 ax-pre-lttri 11133 ax-pre-lttrn 11134 ax-pre-ltadd 11135 ax-pre-mulgt0 11136 |
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-rmo 3352 df-reu 3353 df-rab 3407 df-v 3449 df-sbc 3744 df-csb 3860 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-pw 4566 df-sn 4591 df-pr 4593 df-op 4597 df-uni 4870 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-po 5549 df-so 5550 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-rn 5648 df-res 5649 df-ima 5650 df-iota 6452 df-fun 6502 df-fn 6503 df-f 6504 df-f1 6505 df-fo 6506 df-f1o 6507 df-fv 6508 df-riota 7317 df-ov 7364 df-oprab 7365 df-mpo 7366 df-er 8654 df-en 8890 df-dom 8891 df-sdom 8892 df-pnf 11199 df-mnf 11200 df-xr 11201 df-ltxr 11202 df-le 11203 df-sub 11395 df-neg 11396 df-div 11821 |
This theorem is referenced by: zesq
14138 sqreulem
15253 bitsp1o
16321 bitsmod
16324 lcmgcdlem
16490 pythagtriplem19
16713 fldivp1
16777 mul4sqlem
16833 4sqlem17
16841 metnrmlem3
24247 pcoass
24410 ovollb2lem
24875 opnmbllem
24988 dvaddbr
25325 dvmulbr
25326 ftc1lem4
25426 vieta1lem2
25694 cosargd
25986 tanarg
25997 cxpaddle
26128 cxpeq
26133 dcubic1lem
26216 dcubic2
26217 mcubic
26220 cubic2
26221 dquartlem1
26224 dquart
26226 cosatan
26294 atantan
26296 dvatan
26308 jensenlem2
26360 logdifbnd
26366 emcllem3
26370 emcllem5
26372 dmgmdivn0
26400 lgamgulmlem2
26402 lgamgulmlem5
26405 lgamcvg2
26427 lgam1
26436 basellem3
26455 basellem8
26460 perfectlem2
26601 bclbnd
26651 lgseisenlem1
26746 lgsquad2lem1
26755 dchrvmasum2if
26868 selberg3
26930 selberg4
26932 selberg34r
26942 pntrlog2bndlem2
26949 pntrlog2bndlem4
26951 pntrlog2bndlem5
26952 pntrlog2bndlem6
26954 pntibndlem2
26962 brbtwn2
27903 axsegconlem10
27924 axeuclidlem
27960 axcontlem8
27969 dya2icoseg
32941 divcnvlin
34368 iprodgam
34378 knoppndvlem9
35036 bj-bary1lem
35831 bj-bary1
35833 poimirlem29
36157 opnmbllem0
36164 dvtan
36178 ftc1cnnclem
36199 dvasin
36212 areacirclem1
36216 aks4d1p1p2
40577 aks4d1p1p4
40578 aks4d1p1p7
40581 fltdiv
41021 flt4lem6
41043 3cubeslem4
41059 reglogmul
41263 binomcxplemwb
42720 clim1fr1
43932 coseq0
44195 stirlinglem4
44408 stirlinglem6
44410 dirkerper
44427 dirkertrigeqlem3
44431 dirkercncflem1
44434 dirkercncflem2
44435 fourierdlem4
44442 fourierdlem26
44464 fourierdlem42
44480 fourierdlem83
44520 fourierdlem112
44549 sqwvfourb
44560 etransclem44
44609 quad1
45902 requad1
45904 perfectALTVlem2
46004 eenglngeehlnmlem1
46913 line2
46928 itsclc0xyqsolr
46945 itsclquadb
46952 cotsqcscsq
47297 |