Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1533
∈ wcel 2098 (class class class)co 7426
ℂcc 11144 + caddc 11149 − cmin 11482 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2166 ax-ext 2699 ax-sep 5303 ax-nul 5310 ax-pow 5369 ax-pr 5433 ax-un 7746 ax-resscn 11203 ax-1cn 11204 ax-icn 11205 ax-addcl 11206 ax-addrcl 11207 ax-mulcl 11208 ax-mulrcl 11209 ax-mulcom 11210 ax-addass 11211 ax-mulass 11212 ax-distr 11213 ax-i2m1 11214 ax-1ne0 11215 ax-1rid 11216 ax-rnegex 11217 ax-rrecex 11218 ax-cnre 11219 ax-pre-lttri 11220 ax-pre-lttrn 11221 ax-pre-ltadd 11222 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2529 df-eu 2558 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-reu 3375 df-rab 3431 df-v 3475 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4327 df-if 4533 df-pw 4608 df-sn 4633 df-pr 4635 df-op 4639 df-uni 4913 df-br 5153 df-opab 5215 df-mpt 5236 df-id 5580 df-po 5594 df-so 5595 df-xp 5688 df-rel 5689 df-cnv 5690 df-co 5691 df-dm 5692 df-rn 5693 df-res 5694 df-ima 5695 df-iota 6505 df-fun 6555 df-fn 6556 df-f 6557 df-f1 6558 df-fo 6559 df-f1o 6560 df-fv 6561 df-riota 7382 df-ov 7429 df-oprab 7430 df-mpo 7431 df-er 8731 df-en 8971 df-dom 8972 df-sdom 8973 df-pnf 11288 df-mnf 11289 df-ltxr 11291 df-sub 11484 |
This theorem is referenced by: 2txmxeqx
12390 cvgcmpce
15804 mertens
15872 sin01bnd
16169 cos01bnd
16170 eirrlem
16188 bitsmod
16418 dveflem
25931 mtest
26360 tangtx
26460 efiarg
26561 quart1lem
26807 efiatan2
26869 log2tlbnd
26897 jensenlem2
26940 fsumharmonic
26964 chtublem
27164 bcctr
27228 pcbcctr
27229 bcp1ctr
27232 bposlem9
27245 lgsquadlem1
27333 selberg2lem
27503 logdivbnd
27509 pntrsumo1
27518 pntrsumbnd2
27520 pntrlog2bndlem6
27536 pntpbnd1a
27538 hgt750lemd
34313 bcprod
35365 dnizphlfeqhlf
35984 sumcubes
41904 flt4lem5elem
42106 jm3.1lem1
42469 sqrtcval
43102 fzisoeu
44711 supxrgelem
44748 sigarcol
46281 dignn0flhalflem1
47766 1subrec1sub
47856 i2linesd
48290 |