| Colors of
variables: wff
setvar class |
| Syntax hints:
↔ wb 205 = wceq 1541
∈ wcel 2106 ‘cfv 6516
Cℋ cch 29968 ⊥cort 29969 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2702 ax-rep 5262 ax-sep 5276 ax-nul 5283 ax-pow 5340 ax-pr 5404 ax-un 7692 ax-inf2 9601 ax-cc 10395 ax-cnex 11131 ax-resscn 11132 ax-1cn 11133 ax-icn 11134 ax-addcl 11135 ax-addrcl 11136 ax-mulcl 11137 ax-mulrcl 11138 ax-mulcom 11139 ax-addass 11140 ax-mulass 11141 ax-distr 11142 ax-i2m1 11143 ax-1ne0 11144 ax-1rid 11145 ax-rnegex 11146 ax-rrecex 11147 ax-cnre 11148 ax-pre-lttri 11149 ax-pre-lttrn 11150 ax-pre-ltadd 11151 ax-pre-mulgt0 11152 ax-pre-sup 11153 ax-addf 11154 ax-mulf 11155 ax-hilex 30038 ax-hfvadd 30039 ax-hvcom 30040 ax-hvass 30041 ax-hv0cl 30042 ax-hvaddid 30043 ax-hfvmul 30044 ax-hvmulid 30045 ax-hvmulass 30046 ax-hvdistr1 30047 ax-hvdistr2 30048 ax-hvmul0 30049 ax-hfi 30118 ax-his1 30121 ax-his2 30122 ax-his3 30123 ax-his4 30124 ax-hcompl 30241 |
| This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2533 df-eu 2562 df-clab 2709 df-cleq 2723 df-clel 2809 df-nfc 2884 df-ne 2940 df-nel 3046 df-ral 3061 df-rex 3070 df-rmo 3364 df-reu 3365 df-rab 3419 df-v 3461 df-sbc 3758 df-csb 3874 df-dif 3931 df-un 3933 df-in 3935 df-ss 3945 df-pss 3947 df-nul 4303 df-if 4507 df-pw 4582 df-sn 4607 df-pr 4609 df-tp 4611 df-op 4613 df-uni 4886 df-int 4928 df-iun 4976 df-iin 4977 df-br 5126 df-opab 5188 df-mpt 5209 df-tr 5243 df-id 5551 df-eprel 5557 df-po 5565 df-so 5566 df-fr 5608 df-se 5609 df-we 5610 df-xp 5659 df-rel 5660 df-cnv 5661 df-co 5662 df-dm 5663 df-rn 5664 df-res 5665 df-ima 5666 df-pred 6273 df-ord 6340 df-on 6341 df-lim 6342 df-suc 6343 df-iota 6468 df-fun 6518 df-fn 6519 df-f 6520 df-f1 6521 df-fo 6522 df-f1o 6523 df-fv 6524 df-isom 6525 df-riota 7333 df-ov 7380 df-oprab 7381 df-mpo 7382 df-of 7637 df-om 7823 df-1st 7941 df-2nd 7942 df-supp 8113 df-frecs 8232 df-wrecs 8263 df-recs 8337 df-rdg 8376 df-1o 8432 df-2o 8433 df-oadd 8436 df-omul 8437 df-er 8670 df-map 8789 df-pm 8790 df-ixp 8858 df-en 8906 df-dom 8907 df-sdom 8908 df-fin 8909 df-fsupp 9328 df-fi 9371 df-sup 9402 df-inf 9403 df-oi 9470 df-card 9899 df-acn 9902 df-pnf 11215 df-mnf 11216 df-xr 11217 df-ltxr 11218 df-le 11219 df-sub 11411 df-neg 11412 df-div 11837 df-nn 12178 df-2 12240
df-3 12241 df-4 12242
df-5 12243 df-6 12244
df-7 12245 df-8 12246
df-9 12247 df-n0 12438 df-z 12524
df-dec 12643 df-uz 12788 df-q 12898
df-rp 12940 df-xneg 13057 df-xadd 13058 df-xmul 13059 df-ioo 13293 df-ico 13295 df-icc 13296 df-fz 13450 df-fzo 13593 df-fl 13722 df-seq 13932 df-exp 13993 df-hash 14256 df-cj 15011 df-re 15012 df-im 15013 df-sqrt 15147 df-abs 15148 df-clim 15397 df-rlim 15398 df-sum 15598 df-struct 17045 df-sets 17062 df-slot 17080 df-ndx 17092 df-base 17110 df-ress 17139 df-plusg 17175 df-mulr 17176 df-starv 17177 df-sca 17178 df-vsca 17179 df-ip 17180 df-tset 17181 df-ple 17182 df-ds 17184 df-unif 17185 df-hom 17186 df-cco 17187 df-rest 17333 df-topn 17334 df-0g 17352 df-gsum 17353 df-topgen 17354 df-pt 17355 df-prds 17358 df-xrs 17413 df-qtop 17418 df-imas 17419 df-xps 17421 df-mre 17495 df-mrc 17496 df-acs 17498 df-mgm 18526 df-sgrp 18575 df-mnd 18586 df-submnd 18631 df-mulg 18902 df-cntz 19126 df-cmn 19593 df-psmet 20840 df-xmet 20841 df-met 20842 df-bl 20843 df-mopn 20844 df-fbas 20845 df-fg 20846 df-cnfld 20849 df-top 22295 df-topon 22312 df-topsp 22334 df-bases 22348 df-cld 22422 df-ntr 22423 df-cls 22424 df-nei 22501 df-cn 22630 df-cnp 22631 df-lm 22632 df-haus 22718 df-tx 22965 df-hmeo 23158 df-fil 23249 df-fm 23341 df-flim 23342 df-flf 23343 df-xms 23725 df-ms 23726 df-tms 23727 df-cfil 24671 df-cau 24672 df-cmet 24673 df-grpo 29532 df-gid 29533 df-ginv 29534 df-gdiv 29535 df-ablo 29584 df-vc 29598 df-nv 29631 df-va 29634 df-ba 29635 df-sm 29636 df-0v 29637 df-vs 29638 df-nmcv 29639 df-ims 29640 df-dip 29740 df-ssp 29761 df-ph 29852 df-cbn 29902 df-hnorm 30007 df-hba 30008 df-hvsub 30010 df-hlim 30011 df-hcau 30012 df-sh 30246 df-ch 30260 df-oc 30291 df-ch0 30292 |
| This theorem is referenced by:
(None) |
