Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 ∈ wcel 2107
(class class class)co 7362 ℂcc 11056
+ caddc 11061 |
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 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-resscn 11115 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-mulcom 11122 ax-addass 11123 ax-mulass 11124 ax-distr 11125 ax-i2m1 11126 ax-1ne0 11127 ax-1rid 11128 ax-rnegex 11129 ax-rrecex 11130 ax-cnre 11131 ax-pre-lttri 11132 ax-pre-lttrn 11133 ax-pre-ltadd 11134 |
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 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-po 5550 df-so 5551 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-ov 7365 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-ltxr 11201 |
This theorem is referenced by: addcomli
11354 fztpval
13510 fzo1to4tp
13667 ef01bndlem
16073 modxai
16947 pcoass
24403 tangtx
25878 eff1o
25921 log2ublem2
26313 basellem9
26454 ppiub
26568 bposlem8
26655 lgsdir2lem2
26690 lgsdir2lem3
26691 lgsdir2lem5
26693 ax5seglem7
27926 ipasslem10
29823 normlem2
30095 normlem3
30096 norm-ii-i
30121 normpar2i
30140 dpmul4
31812 hgt750lem2
33305 problem3
34295 problem5
34297 quad3
34298 mblfinlem3
36146 fdc
36233 addcomnni
40472 gcdaddmzz2nncomi
40482 aks4d1p1p4
40557 2xp3dxp2ge1d
40643 decaddcom
40827 sqdeccom12
40832 stoweidlem13
44328 fourierdlem24
44446 3exp4mod41
45882 comraddi
47290 |