Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ‘cfv 6544 (class class class)co 7409
ℂcc 11108 −
cmin 11444 abscabs 15181 |
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 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-resscn 11167 ax-1cn 11168 ax-icn 11169 ax-addcl 11170 ax-addrcl 11171 ax-mulcl 11172 ax-mulrcl 11173 ax-mulcom 11174 ax-addass 11175 ax-mulass 11176 ax-distr 11177 ax-i2m1 11178 ax-1ne0 11179 ax-1rid 11180 ax-rnegex 11181 ax-rrecex 11182 ax-cnre 11183 ax-pre-lttri 11184 ax-pre-lttrn 11185 ax-pre-ltadd 11186 ax-pre-mulgt0 11187 |
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 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rmo 3377 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-po 5589 df-so 5590 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 df-sub 11446 df-neg 11447 df-div 11872 df-2 12275
df-cj 15046 df-re 15047 df-im 15048 df-abs 15183 |
This theorem is referenced by: rlimuni
15494 climuni
15496 2clim
15516 rlimrecl
15524 subcn2
15539 reccn2
15541 climcau
15617 caucvgrlem
15619 serf0
15627 mertenslem2
15831 xrsxmet
24325 elcncf2
24406 cnllycmp
24472 dvlip
25510 c1lip1
25514 dvfsumrlim2
25549 dvfsum2
25551 ftc1a
25554 aalioulem3
25847 ulmcaulem
25906 ulmcau
25907 ulmbdd
25910 ulmcn
25911 ulmdvlem1
25912 logcnlem4
26153 ssscongptld
26327 chordthmlem3
26339 chordthmlem4
26340 lgamucov
26542 ftalem2
26578 logfacrlim
26727 dchrisumlem3
26994 dchrisum0lem1b
27018 mulog2sumlem2
27038 pntrlog2bndlem3
27082 smcnlem
29950 qqhucn
32972 dnibndlem2
35355 dnibndlem6
35359 dnibndlem8
35361 dnibnd
35367 unbdqndv2lem1
35385 knoppndvlem10
35397 knoppndvlem15
35402 ftc1anclem8
36568 irrapxlem3
41562 irrapxlem5
41564 pell14qrgt0
41597 acongeq
41722 absimlere
44190 limcrecl
44345 islpcn
44355 lptre2pt
44356 0ellimcdiv
44365 limclner
44367 dvbdfbdioolem2
44645 ioodvbdlimc1lem1
44647 ioodvbdlimc1lem2
44648 ioodvbdlimc2lem
44650 fourierdlem42
44865 ioorrnopnlem
45020 smflimlem4
45490 |