Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 ∈ wcel 2107
(class class class)co 7350 ℂcc 10983
0cc0 10985 + caddc 10988 |
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 2709 ax-sep 5255 ax-nul 5262 ax-pow 5319 ax-pr 5383 ax-un 7663 ax-resscn 11042 ax-1cn 11043 ax-icn 11044 ax-addcl 11045 ax-addrcl 11046 ax-mulcl 11047 ax-mulrcl 11048 ax-mulcom 11049 ax-addass 11050 ax-mulass 11051 ax-distr 11052 ax-i2m1 11053 ax-1ne0 11054 ax-1rid 11055 ax-rnegex 11056 ax-rrecex 11057 ax-cnre 11058 ax-pre-lttri 11059 ax-pre-lttrn 11060 ax-pre-ltadd 11061 |
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 2540 df-eu 2569 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2888 df-ne 2943 df-nel 3049 df-ral 3064 df-rex 3073 df-rab 3407 df-v 3446 df-sbc 3739 df-csb 3855 df-dif 3912 df-un 3914 df-in 3916 df-ss 3926 df-nul 4282 df-if 4486 df-pw 4561 df-sn 4586 df-pr 4588 df-op 4592 df-uni 4865 df-br 5105 df-opab 5167 df-mpt 5188 df-id 5529 df-po 5543 df-so 5544 df-xp 5637 df-rel 5638 df-cnv 5639 df-co 5640 df-dm 5641 df-rn 5642 df-res 5643 df-ima 5644 df-iota 6444 df-fun 6494 df-fn 6495 df-f 6496 df-f1 6497 df-fo 6498 df-f1o 6499 df-fv 6500 df-ov 7353 df-er 8582 df-en 8818 df-dom 8819 df-sdom 8820 df-pnf 11125 df-mnf 11126 df-ltxr 11128 |
This theorem is referenced by: 1p0e1
12211 9p1e10
12553 num0u
12562 numnncl2
12574 decrmanc
12608 decaddi
12611 decaddci
12612 decmul1
12615 decmulnc
12618 fsumrelem
15627 bpoly4
15877 demoivreALT
16018 decexp2
16882 decsplit0
16888 37prm
16928 43prm
16929 139prm
16931 163prm
16932 317prm
16933 631prm
16934 1259lem2
16939 1259lem3
16940 1259lem4
16941 1259lem5
16942 2503lem1
16944 2503lem2
16945 2503lem3
16946 4001lem1
16948 4001lem2
16949 4001lem3
16950 4001lem4
16951 sinhalfpilem
25742 efipi
25752 asin1
26166 log2ublem3
26220 log2ub
26221 emcllem6
26272 lgam1
26335 ip2i
29556 pythi
29578 normlem6
29843 normpythi
29870 normpari
29882 pjneli
30451 dp20u
31516 1mhdrd
31554 ballotth
32898 hgt750lemd
33022 hgt750lem2
33026 420gcd8e4
40349 60lcm7e420
40353 420lcm8e840
40354 3lexlogpow5ineq1
40397 3lexlogpow5ineq5
40403 dirkertrigeqlem3
44051 fourierdlem103
44160 fourierdlem104
44161 fouriersw
44182 257prm
45453 fmtno4nprmfac193
45466 fmtno5faclem3
45473 fmtno5fac
45474 139prmALT
45488 127prm
45491 m11nprm
45493 |