Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 (class class class)co 7358
ℂcc 11050 + caddc 11055 − cmin 11386 |
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-reu 3355 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-riota 7314 df-ov 7361 df-oprab 7362 df-mpo 7363 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 df-sub 11388 |
This theorem is referenced by: subaddmulsub
11619 sub1m1
12406 cnm2m1cnm3
12407 nn0n0n1ge2
12481 ubmelm1fzo
13669 hashf1
14357 ccatass
14477 isercolllem1
15550 caucvgrlem
15558 fsumparts
15692 incexclem
15722 arisum2
15747 pwdif
15754 bpolydiflem
15938 bpoly4
15943 sin01bnd
16068 cos01bnd
16069 vdwlem5
16858 vdwlem8
16861 efgredleme
19526 opnreen
24197 pjthlem1
24804 dveflem
25346 dvcvx
25387 dvfsumlem1
25393 efif1olem2
25902 tanarg
25977 dcubic1
26198 dquartlem1
26204 tanatan
26272 atans2
26284 harmonicbnd4
26363 basellem5
26437 logfaclbnd
26573 bcmono
26628 lgsquadlem1
26731 mulogsumlem
26882 mulog2sumlem1
26885 vmalogdivsum
26890 selbergr
26919 selberg3r
26920 brbtwn2
27857 colinearalglem1
27858 colinearalglem2
27859 colinearalglem4
27861 ax5seglem1
27880 clwlkclwwlklem2a4
28944 clwlkclwwlklem2a
28945 clwwlkext2edg
29003 clwwlknonex2lem1
29054 clwwlknonex2lem2
29055 pjhthlem1
30336 lt2addrd
31659 cycpmco2lem6
31983 ballotlemfp1
33094 signstfveq0
33192 revpfxsfxrev
33712 revwlk
33721 bcprod
34314 dnibndlem10
34953 lcmineqlem10
40498 sticksstones10
40566 sticksstones12a
40568 suplesup
43580 fperdvper
44167 dvnxpaek
44190 itgsinexp
44203 stoweidlem26
44274 stoweidlem34
44282 stirlinglem5
44326 fourierdlem26
44381 fourierdlem107
44461 vonioolem1
44928 dignn0flhalflem1
46708 itsclc0yqsollem1
46855 2itscplem3
46873 |