Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1541 ∈ wcel 2106
(class class class)co 7349 ℂcc 10982
0cc0 10984 + caddc 10987 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2708 ax-sep 5254 ax-nul 5261 ax-pow 5318 ax-pr 5382 ax-un 7662 ax-resscn 11041 ax-1cn 11042 ax-icn 11043 ax-addcl 11044 ax-addrcl 11045 ax-mulcl 11046 ax-mulrcl 11047 ax-mulcom 11048 ax-addass 11049 ax-mulass 11050 ax-distr 11051 ax-i2m1 11052 ax-1ne0 11053 ax-1rid 11054 ax-rnegex 11055 ax-rrecex 11056 ax-cnre 11057 ax-pre-lttri 11058 ax-pre-lttrn 11059 ax-pre-ltadd 11060 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2887 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rab 3406 df-v 3445 df-sbc 3738 df-csb 3854 df-dif 3911 df-un 3913 df-in 3915 df-ss 3925 df-nul 4281 df-if 4485 df-pw 4560 df-sn 4585 df-pr 4587 df-op 4591 df-uni 4864 df-br 5104 df-opab 5166 df-mpt 5187 df-id 5528 df-po 5542 df-so 5543 df-xp 5636 df-rel 5637 df-cnv 5638 df-co 5639 df-dm 5640 df-rn 5641 df-res 5642 df-ima 5643 df-iota 6443 df-fun 6493 df-fn 6494 df-f 6495 df-f1 6496 df-fo 6497 df-f1o 6498 df-fv 6499 df-ov 7352 df-er 8581 df-en 8817 df-dom 8818 df-sdom 8819 df-pnf 11124 df-mnf 11125 df-ltxr 11127 |
This theorem is referenced by: 1p0e1
12210 9p1e10
12552 num0u
12561 numnncl2
12573 decrmanc
12607 decaddi
12610 decaddci
12611 decmul1
12614 decmulnc
12617 fsumrelem
15626 bpoly4
15876 demoivreALT
16017 decexp2
16881 decsplit0
16887 37prm
16927 43prm
16928 139prm
16930 163prm
16931 317prm
16932 631prm
16933 1259lem2
16938 1259lem3
16939 1259lem4
16940 1259lem5
16941 2503lem1
16943 2503lem2
16944 2503lem3
16945 4001lem1
16947 4001lem2
16948 4001lem3
16949 4001lem4
16950 sinhalfpilem
25742 efipi
25752 asin1
26166 log2ublem3
26220 log2ub
26221 emcllem6
26272 lgam1
26335 ip2i
29568 pythi
29590 normlem6
29855 normpythi
29882 normpari
29894 pjneli
30463 dp20u
31528 1mhdrd
31566 ballotth
32910 hgt750lemd
33034 hgt750lem2
33038 420gcd8e4
40358 60lcm7e420
40362 420lcm8e840
40363 3lexlogpow5ineq1
40406 3lexlogpow5ineq5
40412 dirkertrigeqlem3
44094 fourierdlem103
44203 fourierdlem104
44204 fouriersw
44225 257prm
45502 fmtno4nprmfac193
45515 fmtno5faclem3
45522 fmtno5fac
45523 139prmALT
45537 127prm
45540 m11nprm
45542 |