Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 (class class class)co 7358
ℂcc 11050 0cc0 11052
+ caddc 11055 |
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-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-ov 7361 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 |
This theorem is referenced by: negeu
11392 subge0
11669 sublt0d
11782 un0addcl
12447 lincmb01cmp
13413 ico01fl0
13725 discr
14144 ccatlid
14475 swrdfv0
14538 swrdpfx
14596 pfxpfx
14597 cats1un
14610 swrdccatin2
14618 cshwidx0mod
14694 cshw1
14711 relexpaddg
14939 rennim
15125 max0add
15196 fsumsplit
15627 sumsplit
15654 isumsplit
15726 arisum2
15747 binomfallfaclem2
15924 efaddlem
15976 eftlub
15992 ef4p
15996 rpnnen2lem11
16107 moddvds
16148 divalglem9
16284 sadadd2lem2
16331 sadcaddlem
16338 gcdmultipled
16416 pcmpt
16765 4sqlem11
16828 vdwlem6
16859 gsumsgrpccat
18651 mulgnn0dir
18907 sylow1lem1
19381 efgsval2
19516 efgsp1
19520 zaddablx
19651 pgpfaclem1
19861 regsumfsum
20868 regsumsupp
21029 mplcoe5
21444 nrmmetd
23933 blcvx
24164 xrsxmet
24175 reparphti
24363 nulmbl
24902 itg2splitlem
25116 itg2split
25117 itg2monolem1
25118 itgsplitioo
25205 ditgsplit
25228 dvcnp2
25287 dvcmul
25311 dvcmulf
25312 dvmptcmul
25331 dveflem
25346 dvef
25347 dvlipcn
25361 dvlt0
25372 plymullem1
25578 coeeulem
25588 dgradd2
25632 dgrmulc
25635 plydivlem3
25658 aareccl
25689 taylthlem1
25735 sin2kpi
25843 cos2kpi
25844 coshalfpim
25855 sinkpi
25881 chordthmlem3
26187 chordthmlem5
26189 dcubic1lem
26196 dcubic
26199 atancj
26263 atanlogaddlem
26266 atanlogsublem
26268 scvxcvx
26338 zetacvg
26367 ftalem5
26429 ftalem7
26431 basellem3
26435 chtublem
26562 2sqn0
26785 2sqnn
26790 rplogsumlem2
26836 dchrisumlem1
26840 pntrlog2bndlem2
26929 brbtwn2
27857 axlowdimlem16
27909 axeuclidlem
27914 elntg2
27937 eucrct2eupth
29192 2clwwlk2clwwlk
29297 bcm1n
31701 wrdt2ind
31810 esumpfinvallem
32676 signsplypnf
33165 fsum2dsub
33223 logdivsqrle
33266 revpfxsfxrev
33712 cvxpconn
33839 cvxsconn
33840 fwddifnp1
34753 tan2h
36073 poimirlem16
36097 mbfposadd
36128 itg2addnc
36135 ftc1anclem5
36158 bfplem2
36285 aks4d1p1p4
40531 aks4d1p7d1
40542 sticksstones10
40566 sticksstones22
40579 dffltz
40975 3cubeslem3r
41013 pellexlem6
41160 jm2.18
41315 sqrtcval
41920 relexpaddss
41997 int-add02d
42465 sub2times
43513 fzisoeu
43541 xralrple2
43595 cosknegpi
44117 dvsinax
44161 dvasinbx
44168 dvnxpaek
44190 dvnmul
44191 stoweidlem1
44249 stoweidlem13
44261 stoweidlem42
44290 stirlinglem5
44326 stirlinglem11
44332 fourierdlem42
44397 fourierdlem51
44405 fourierdlem88
44442 fourierdlem103
44457 fourierdlem104
44458 fourierdlem107
44461 sqwvfoura
44476 sqwvfourb
44477 fouriersw
44479 elaa2lem
44481 hspmbllem1
44874 cnambpcma
45533 readdcnnred
45542 nn0mnd
46120 altgsumbcALT
46436 nn0sumshdiglemA
46712 line2xlem
46846 line2x
46847 itschlc0yqe
46853 itsclc0yqsollem1
46855 itschlc0xyqsol1
46859 itschlc0xyqsol
46860 2itscp
46874 |