Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 (class class class)co 7409
ℂcc 11108 + caddc 11113 − cmin 11444 |
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 |
This theorem is referenced by: assraddsubd
11628 mulsubdivbinom2
14222 hashun3
14344 swrdccatin2
14679 bpoly4
16003 gsumsgrpccat
18721 mndodconglem
19409 efgredleme
19611 ovollb2lem
25005 ply1divex
25654 tanarg
26127 affineequiv
26328 chordthmlem4
26340 heron
26343 dquartlem2
26357 quart
26366 bposlem9
26795 2lgslem3b
26900 2lgslem3c
26901 2lgslem3d
26902 dchrisum0re
27016 mulog2sumlem1
27037 selberglem2
27049 selberg4
27064 selbergr
27071 selberg3r
27072 selberg34r
27074 brbtwn2
28163 ax5seglem2
28187 wwlksnextwrd
29151 wwlksnextinj
29153 clwwlkccatlem
29242 ex-ind-dvds
29714 lt2addrd
31964 cycpmco2lem3
32287 cycpmco2lem4
32288 cycpmco2lem5
32289 cycpmco2lem6
32290 cycpmco2
32292 archirngz
32335 fibp1
33400 dnibndlem10
35363 bj-bary1lem
36191 lcmineqlem22
40915 sticksstones10
40971 sticksstones12a
40973 sumcubes
41211 3cubeslem2
41423 acongeq
41722 jm3.1lem2
41757 inductionexd
42906 fzisoeu
44010 sumnnodd
44346 stoweidlem26
44742 wallispilem4
44784 wallispi2lem1
44787 wallispi2lem2
44788 fourierdlem26
44849 fourierdlem41
44864 fourierdlem42
44865 fourierdlem48
44870 fourierdlem63
44885 fourierdlem107
44929 smfmullem1
45507 fmtnorec2lem
46210 fmtnorec3
46216 lighneallem3
46275 bgoldbtbndlem2
46474 m1modmmod
47207 itscnhlc0yqe
47445 2itscplem1
47464 2itscplem3
47466 |