| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2104 ⊆ wss 3949
(class class class)co 7413
Cℋ cch 30447
∨ℋ chj 30451 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-rep 5286 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7729 ax-inf2 9640 ax-cnex 11170 ax-resscn 11171 ax-1cn 11172 ax-icn 11173 ax-addcl 11174 ax-addrcl 11175 ax-mulcl 11176 ax-mulrcl 11177 ax-mulcom 11178 ax-addass 11179 ax-mulass 11180 ax-distr 11181 ax-i2m1 11182 ax-1ne0 11183 ax-1rid 11184 ax-rnegex 11185 ax-rrecex 11186 ax-cnre 11187 ax-pre-lttri 11188 ax-pre-lttrn 11189 ax-pre-ltadd 11190 ax-pre-mulgt0 11191 ax-pre-sup 11192 ax-addf 11193 ax-mulf 11194 ax-hilex 30517 ax-hfvadd 30518 ax-hvcom 30519 ax-hvass 30520 ax-hv0cl 30521 ax-hvaddid 30522 ax-hfvmul 30523 ax-hvmulid 30524 ax-hvmulass 30525 ax-hvdistr1 30526 ax-hvdistr2 30527 ax-hvmul0 30528 ax-hfi 30597 ax-his1 30600 ax-his2 30601 ax-his3 30602 ax-his4 30603 ax-hcompl 30720 |
| This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-rmo 3374 df-reu 3375 df-rab 3431 df-v 3474 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-pss 3968 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-tp 4634 df-op 4636 df-uni 4910 df-int 4952 df-iun 5000 df-iin 5001 df-br 5150 df-opab 5212 df-mpt 5233 df-tr 5267 df-id 5575 df-eprel 5581 df-po 5589 df-so 5590 df-fr 5632 df-se 5633 df-we 5634 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-pred 6301 df-ord 6368 df-on 6369 df-lim 6370 df-suc 6371 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-isom 6553 df-riota 7369 df-ov 7416 df-oprab 7417 df-mpo 7418 df-of 7674 df-om 7860 df-1st 7979 df-2nd 7980 df-supp 8151 df-frecs 8270 df-wrecs 8301 df-recs 8375 df-rdg 8414 df-1o 8470 df-2o 8471 df-er 8707 df-map 8826 df-pm 8827 df-ixp 8896 df-en 8944 df-dom 8945 df-sdom 8946 df-fin 8947 df-fsupp 9366 df-fi 9410 df-sup 9441 df-inf 9442 df-oi 9509 df-card 9938 df-pnf 11256 df-mnf 11257 df-xr 11258 df-ltxr 11259 df-le 11260 df-sub 11452 df-neg 11453 df-div 11878 df-nn 12219 df-2 12281
df-3 12282 df-4 12283
df-5 12284 df-6 12285
df-7 12286 df-8 12287
df-9 12288 df-n0 12479 df-z 12565
df-dec 12684 df-uz 12829 df-q 12939
df-rp 12981 df-xneg 13098 df-xadd 13099 df-xmul 13100 df-ioo 13334 df-icc 13337 df-fz 13491 df-fzo 13634 df-seq 13973 df-exp 14034 df-hash 14297 df-cj 15052 df-re 15053 df-im 15054 df-sqrt 15188 df-abs 15189 df-clim 15438 df-sum 15639 df-struct 17086 df-sets 17103 df-slot 17121 df-ndx 17133 df-base 17151 df-ress 17180 df-plusg 17216 df-mulr 17217 df-starv 17218 df-sca 17219 df-vsca 17220 df-ip 17221 df-tset 17222 df-ple 17223 df-ds 17225 df-unif 17226 df-hom 17227 df-cco 17228 df-rest 17374 df-topn 17375 df-0g 17393 df-gsum 17394 df-topgen 17395 df-pt 17396 df-prds 17399 df-xrs 17454 df-qtop 17459 df-imas 17460 df-xps 17462 df-mre 17536 df-mrc 17537 df-acs 17539 df-mgm 18567 df-sgrp 18646 df-mnd 18662 df-submnd 18708 df-mulg 18989 df-cntz 19224 df-cmn 19693 df-psmet 21138 df-xmet 21139 df-met 21140 df-bl 21141 df-mopn 21142 df-cnfld 21147 df-top 22618 df-topon 22635 df-topsp 22657 df-bases 22671 df-cn 22953 df-cnp 22954 df-lm 22955 df-haus 23041 df-tx 23288 df-hmeo 23481 df-xms 24048 df-ms 24049 df-tms 24050 df-cau 25006 df-grpo 30011 df-gid 30012 df-ginv 30013 df-gdiv 30014 df-ablo 30063 df-vc 30077 df-nv 30110 df-va 30113 df-ba 30114 df-sm 30115 df-0v 30116 df-vs 30117 df-nmcv 30118 df-ims 30119 df-dip 30219 df-hnorm 30486 df-hvsub 30489 df-hlim 30490 df-hcau 30491 df-sh 30725 df-ch 30739 df-oc 30770 df-shs 30826 df-chj 30828 |
| This theorem is referenced by: chub2i
30988 chlejb1i
30994 chdmm1i
30995 chnlei
31003 chj00i
31005 lejdii
31056 pjoml4i
31105 pjoml5i
31106 pjoml6i
31107 cmj1i
31122 qlaxr3i
31154 mayetes3i
31247 pjclem1
31713 mdslj1i
31837 mdslmd1lem1
31843 mdslmd2i
31848 mdexchi
31853 atabsi
31919 |
