Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1534
∈ wcel 2099 (class class class)co 7420
ℂcc 11137 + caddc 11142 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-resscn 11196 ax-1cn 11197 ax-icn 11198 ax-addcl 11199 ax-addrcl 11200 ax-mulcl 11201 ax-mulrcl 11202 ax-mulcom 11203 ax-addass 11204 ax-mulass 11205 ax-distr 11206 ax-i2m1 11207 ax-1ne0 11208 ax-1rid 11209 ax-rnegex 11210 ax-rrecex 11211 ax-cnre 11212 ax-pre-lttri 11213 ax-pre-lttrn 11214 ax-pre-ltadd 11215 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-po 5590 df-so 5591 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-ov 7423 df-er 8725 df-en 8965 df-dom 8966 df-sdom 8967 df-pnf 11281 df-mnf 11282 df-ltxr 11284 |
This theorem is referenced by: nppcan
11513 muladd
11677 fladdz
13823 zesq
14221 relexpaddnn
15031 abstri
15310 iseraltlem3
15663 sadadd2lem
16434 pythagtriplem1
16785 pythagtriplem12
16795 vdwlem2
16951 vdwlem6
16955 vdwlem8
16957 prmgaplem8
17027 tcphcphlem1
25176 uniioombllem5
25529 heron
26783 dcubic1
26790 lgamcvg2
27000 mulog2sumlem1
27480 chpdifbndlem1
27499 selberg34r
27517 pntlemr
27548 brbtwn2
28729 axpasch
28765 crctcshwlkn0lem4
29637 clwwisshclwwslemlem
29836 subfacval2
34797 lcmineqlem18
41517 sticksstones22
41640 sqrtcval
43071 fourierdlem19
45514 fourierdlem26
45521 carageniuncllem2
45910 cnapbmcpd
46675 opeoALTV
47024 |