| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1533 ∈ wcel 2098
‘cfv 6537 ℂcc 11110 TopOpenctopn 17376 ℂfldccnfld 21240 Topctop 22750 |
| 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 2163 ax-ext 2697 ax-rep 5278 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7722 ax-cnex 11168 ax-resscn 11169 ax-1cn 11170 ax-icn 11171 ax-addcl 11172 ax-addrcl 11173 ax-mulcl 11174 ax-mulrcl 11175 ax-mulcom 11176 ax-addass 11177 ax-mulass 11178 ax-distr 11179 ax-i2m1 11180 ax-1ne0 11181 ax-1rid 11182 ax-rnegex 11183 ax-rrecex 11184 ax-cnre 11185 ax-pre-lttri 11186 ax-pre-lttrn 11187 ax-pre-ltadd 11188 ax-pre-mulgt0 11189 ax-pre-sup 11190 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-nel 3041 df-ral 3056 df-rex 3065 df-rmo 3370 df-reu 3371 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-pss 3962 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-tp 4628 df-op 4630 df-uni 4903 df-iun 4992 df-br 5142 df-opab 5204 df-mpt 5225 df-tr 5259 df-id 5567 df-eprel 5573 df-po 5581 df-so 5582 df-fr 5624 df-we 5626 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-pred 6294 df-ord 6361 df-on 6362 df-lim 6363 df-suc 6364 df-iota 6489 df-fun 6539 df-fn 6540 df-f 6541 df-f1 6542 df-fo 6543 df-f1o 6544 df-fv 6545 df-riota 7361 df-ov 7408 df-oprab 7409 df-mpo 7410 df-om 7853 df-1st 7974 df-2nd 7975 df-frecs 8267 df-wrecs 8298 df-recs 8372 df-rdg 8411 df-1o 8467 df-er 8705 df-map 8824 df-en 8942 df-dom 8943 df-sdom 8944 df-fin 8945 df-sup 9439 df-inf 9440 df-pnf 11254 df-mnf 11255 df-xr 11256 df-ltxr 11257 df-le 11258 df-sub 11450 df-neg 11451 df-div 11876 df-nn 12217 df-2 12279
df-3 12280 df-4 12281
df-5 12282 df-6 12283
df-7 12284 df-8 12285
df-9 12286 df-n0 12477 df-z 12563
df-dec 12682 df-uz 12827 df-q 12937
df-rp 12981 df-xneg 13098 df-xadd 13099 df-xmul 13100 df-fz 13491 df-seq 13973 df-exp 14033 df-cj 15052 df-re 15053 df-im 15054 df-sqrt 15188 df-abs 15189 df-struct 17089 df-slot 17124 df-ndx 17136 df-base 17154 df-plusg 17219 df-mulr 17220 df-starv 17221 df-tset 17225 df-ple 17226 df-ds 17228 df-unif 17229 df-rest 17377 df-topn 17378 df-topgen 17398 df-psmet 21232 df-xmet 21233 df-met 21234 df-bl 21235 df-mopn 21236 df-cnfld 21241 df-top 22751 df-topon 22768 df-topsp 22790 df-bases 22804 df-xms 24181 df-ms 24182 |
| This theorem is referenced by: cnopn
24658 rerest
24675 recld2
24685 zdis
24687 reperflem
24689 metdcn
24711 ngnmcncn
24716 metdscn2
24728 cncfcnvcn
24801 icchmeo
24820 icchmeoOLD
24821 cnrehmeo
24833 cnrehmeoOLD
24834 cnheiborlem
24835 cnheibor
24836 cnllycmp
24837 evth
24840 reparphti
24878 reparphtiOLD
24879 cncmet
25205 resscdrg
25241 mbfimaopn2
25541 ellimc2
25761 limcnlp
25762 limcflflem
25764 limcflf
25765 limccnp
25775 limciun
25778 dvbss
25785 perfdvf
25787 dvreslem
25793 dvres2lem
25794 dvidlem
25799 dvcnp2
25804 dvcnp2OLD
25805 dvnres
25816 dvaddbr
25823 dvmulbr
25824 dvmulbrOLD
25825 dvrec
25842 dvmptres
25850 dveflem
25866 dvlipcn
25882 dvcnvrelem2
25906 dvply1
26173 ulmdvlem3
26293 psercn
26318 abelth
26333 dvlog
26540 dvlog2
26542 efopnlem2
26546 efopn
26547 efrlim
26856 efrlimOLD
26857 lgamucov
26925 lgamucov2
26926 nmcnc
30458 raddcn
33439 lmlim
33457 cvxpconn
34761 cvxsconn
34762 cnllysconn
34764 ivthALT
35728 knoppcnlem10
35886 broucube
37035 binomcxplemdvbinom
43688 binomcxplemnotnn0
43691 climreeq
44901 limcrecl
44917 islpcn
44927 limcresiooub
44930 limcresioolb
44931 lptioo2cn
44933 lptioo1cn
44934 limclner
44939 fsumcncf
45166 ioccncflimc
45173 cncfuni
45174 icocncflimc
45177 cncfiooicclem1
45181 cncfiooicc
45182 itgsubsticclem
45263 dirkercncflem2
45392 dirkercncflem4
45394 dirkercncf
45395 fourierdlem32
45427 fourierdlem33
45428 fourierdlem48
45442 fourierdlem49
45443 fourierdlem62
45456 fourierdlem93
45487 fourierdlem101
45495 fourierdlem113
45507 fouriercnp
45514 fouriersw
45519 |
