| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1540 ∈ wcel 2105
‘cfv 6543
Cℋ cch 30616 ⊥cort 30617 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-10 2136 ax-11 2153 ax-12 2170 ax-ext 2702 ax-rep 5285 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7729 ax-inf2 9642 ax-cc 10436 ax-cnex 11172 ax-resscn 11173 ax-1cn 11174 ax-icn 11175 ax-addcl 11176 ax-addrcl 11177 ax-mulcl 11178 ax-mulrcl 11179 ax-mulcom 11180 ax-addass 11181 ax-mulass 11182 ax-distr 11183 ax-i2m1 11184 ax-1ne0 11185 ax-1rid 11186 ax-rnegex 11187 ax-rrecex 11188 ax-cnre 11189 ax-pre-lttri 11190 ax-pre-lttrn 11191 ax-pre-ltadd 11192 ax-pre-mulgt0 11193 ax-pre-sup 11194 ax-addf 11195 ax-mulf 11196 ax-hilex 30686 ax-hfvadd 30687 ax-hvcom 30688 ax-hvass 30689 ax-hv0cl 30690 ax-hvaddid 30691 ax-hfvmul 30692 ax-hvmulid 30693 ax-hvmulass 30694 ax-hvdistr1 30695 ax-hvdistr2 30696 ax-hvmul0 30697 ax-hfi 30766 ax-his1 30769 ax-his2 30770 ax-his3 30771 ax-his4 30772 ax-hcompl 30889 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1087 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-nf 1785 df-sb 2067 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 3375 df-reu 3376 df-rab 3432 df-v 3475 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-pss 3967 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-int 4951 df-iun 4999 df-iin 5000 df-br 5149 df-opab 5211 df-mpt 5232 df-tr 5266 df-id 5574 df-eprel 5580 df-po 5588 df-so 5589 df-fr 5631 df-se 5632 df-we 5633 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-pred 6300 df-ord 6367 df-on 6368 df-lim 6369 df-suc 6370 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-isom 6552 df-riota 7368 df-ov 7415 df-oprab 7416 df-mpo 7417 df-om 7860 df-1st 7979 df-2nd 7980 df-frecs 8272 df-wrecs 8303 df-recs 8377 df-rdg 8416 df-1o 8472 df-oadd 8476 df-omul 8477 df-er 8709 df-map 8828 df-pm 8829 df-en 8946 df-dom 8947 df-sdom 8948 df-fin 8949 df-fi 9412 df-sup 9443 df-inf 9444 df-oi 9511 df-card 9940 df-acn 9943 df-pnf 11257 df-mnf 11258 df-xr 11259 df-ltxr 11260 df-le 11261 df-sub 11453 df-neg 11454 df-div 11879 df-nn 12220 df-2 12282
df-3 12283 df-4 12284
df-n0 12480 df-z 12566
df-uz 12830 df-q 12940
df-rp 12982 df-xneg 13099 df-xadd 13100 df-xmul 13101 df-ico 13337 df-icc 13338 df-fz 13492 df-fl 13764 df-seq 13974 df-exp 14035 df-cj 15053 df-re 15054 df-im 15055 df-sqrt 15189 df-abs 15190 df-clim 15439 df-rlim 15440 df-rest 17375 df-topgen 17396 df-psmet 21225 df-xmet 21226 df-met 21227 df-bl 21228 df-mopn 21229 df-fbas 21230 df-fg 21231 df-top 22716 df-topon 22733 df-bases 22769 df-cld 22843 df-ntr 22844 df-cls 22845 df-nei 22922 df-lm 23053 df-haus 23139 df-fil 23670 df-fm 23762 df-flim 23763 df-flf 23764 df-cfil 25103 df-cau 25104 df-cmet 25105 df-grpo 30180 df-gid 30181 df-ginv 30182 df-gdiv 30183 df-ablo 30232 df-vc 30246 df-nv 30279 df-va 30282 df-ba 30283 df-sm 30284 df-0v 30285 df-vs 30286 df-nmcv 30287 df-ims 30288 df-ssp 30409 df-ph 30500 df-cbn 30550 df-hnorm 30655 df-hba 30656 df-hvsub 30658 df-hlim 30659 df-hcau 30660 df-sh 30894 df-ch 30908 df-oc 30939 df-ch0 30940 |
| This theorem is referenced by: pjoc2i
31125 chj0i
31142 chsscon3i
31148 chsscon1i
31149 chdmm2i
31165 chdmm3i
31166 chdmm4i
31167 chdmj1i
31168 chdmj2i
31169 chdmj3i
31170 chdmj4i
31171 cmcm2i
31280 atomli
32069 mdsymi
32098 |
