| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2104 ‘cfv 6542
ℋchba 30439
Cℋ cch 30449 projℎcpjh 30457 |
| 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 5284 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 ax-inf2 9638 ax-cc 10432 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 ax-addf 11191 ax-mulf 11192 ax-hilex 30519 ax-hfvadd 30520 ax-hvcom 30521 ax-hvass 30522 ax-hv0cl 30523 ax-hvaddid 30524 ax-hfvmul 30525 ax-hvmulid 30526 ax-hvmulass 30527 ax-hvdistr1 30528 ax-hvdistr2 30529 ax-hvmul0 30530 ax-hfi 30599 ax-his1 30602 ax-his2 30603 ax-his3 30604 ax-his4 30605 ax-hcompl 30722 |
| 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 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-int 4950 df-iun 4998 df-iin 4999 df-br 5148 df-opab 5210 df-mpt 5231 df-tr 5265 df-id 5573 df-eprel 5579 df-po 5587 df-so 5588 df-fr 5630 df-se 5631 df-we 5632 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-pred 6299 df-ord 6366 df-on 6367 df-lim 6368 df-suc 6369 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-isom 6551 df-riota 7367 df-ov 7414 df-oprab 7415 df-mpo 7416 df-om 7858 df-1st 7977 df-2nd 7978 df-frecs 8268 df-wrecs 8299 df-recs 8373 df-rdg 8412 df-1o 8468 df-oadd 8472 df-omul 8473 df-er 8705 df-map 8824 df-pm 8825 df-en 8942 df-dom 8943 df-sdom 8944 df-fin 8945 df-fi 9408 df-sup 9439 df-inf 9440 df-oi 9507 df-card 9936 df-acn 9939 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-n0 12477 df-z 12563
df-uz 12827 df-q 12937
df-rp 12979 df-xneg 13096 df-xadd 13097 df-xmul 13098 df-ico 13334 df-icc 13335 df-fz 13489 df-fl 13761 df-seq 13971 df-exp 14032 df-cj 15050 df-re 15051 df-im 15052 df-sqrt 15186 df-abs 15187 df-clim 15436 df-rlim 15437 df-rest 17372 df-topgen 17393 df-psmet 21136 df-xmet 21137 df-met 21138 df-bl 21139 df-mopn 21140 df-fbas 21141 df-fg 21142 df-top 22616 df-topon 22633 df-bases 22669 df-cld 22743 df-ntr 22744 df-cls 22745 df-nei 22822 df-lm 22953 df-haus 23039 df-fil 23570 df-fm 23662 df-flim 23663 df-flf 23664 df-cfil 25003 df-cau 25004 df-cmet 25005 df-grpo 30013 df-gid 30014 df-ginv 30015 df-gdiv 30016 df-ablo 30065 df-vc 30079 df-nv 30112 df-va 30115 df-ba 30116 df-sm 30117 df-0v 30118 df-vs 30119 df-nmcv 30120 df-ims 30121 df-ssp 30242 df-ph 30333 df-cbn 30383 df-hnorm 30488 df-hba 30489 df-hvsub 30491 df-hlim 30492 df-hcau 30493 df-sh 30727 df-ch 30741 df-oc 30772 df-ch0 30773 df-shs 30828 df-pjh 30915 |
| This theorem is referenced by: pjoc1i
30951 pjchi
30952 spansnpji
31098 spanunsni
31099 spansnji
31166 pjidmi
31193 pjadjii
31194 pjaddii
31195 pjinormii
31196 pjmulii
31197 pjsubii
31198 pjsslem
31199 pjss2i
31200 pjssmii
31201 pjssge0ii
31202 pjdifnormii
31203 pjcji
31204 pjopythi
31239 pjnormi
31241 pjneli
31243 |
