| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1533 ∪ cuni 4900 (class class class)co 7402
0cc0 11107 1c1 11108
[,]cicc 13328 IIcii 24739 |
| 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 2695 ax-sep 5290 ax-nul 5297 ax-pow 5354 ax-pr 5418 ax-un 7719 ax-cnex 11163 ax-resscn 11164 ax-1cn 11165 ax-icn 11166 ax-addcl 11167 ax-addrcl 11168 ax-mulcl 11169 ax-mulrcl 11170 ax-mulcom 11171 ax-addass 11172 ax-mulass 11173 ax-distr 11174 ax-i2m1 11175 ax-1ne0 11176 ax-1rid 11177 ax-rnegex 11178 ax-rrecex 11179 ax-cnre 11180 ax-pre-lttri 11181 ax-pre-lttrn 11182 ax-pre-ltadd 11183 ax-pre-mulgt0 11184 ax-pre-sup 11185 |
| 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 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-rmo 3368 df-reu 3369 df-rab 3425 df-v 3468 df-sbc 3771 df-csb 3887 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-pss 3960 df-nul 4316 df-if 4522 df-pw 4597 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-iun 4990 df-br 5140 df-opab 5202 df-mpt 5223 df-tr 5257 df-id 5565 df-eprel 5571 df-po 5579 df-so 5580 df-fr 5622 df-we 5624 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-rn 5678 df-res 5679 df-ima 5680 df-pred 6291 df-ord 6358 df-on 6359 df-lim 6360 df-suc 6361 df-iota 6486 df-fun 6536 df-fn 6537 df-f 6538 df-f1 6539 df-fo 6540 df-f1o 6541 df-fv 6542 df-riota 7358 df-ov 7405 df-oprab 7406 df-mpo 7407 df-om 7850 df-1st 7969 df-2nd 7970 df-frecs 8262 df-wrecs 8293 df-recs 8367 df-rdg 8406 df-er 8700 df-map 8819 df-en 8937 df-dom 8938 df-sdom 8939 df-sup 9434 df-inf 9435 df-pnf 11249 df-mnf 11250 df-xr 11251 df-ltxr 11252 df-le 11253 df-sub 11445 df-neg 11446 df-div 11871 df-nn 12212 df-2 12274
df-3 12275 df-n0 12472 df-z 12558
df-uz 12822 df-q 12932
df-rp 12976 df-xneg 13093 df-xadd 13094 df-xmul 13095 df-icc 13332 df-seq 13968 df-exp 14029 df-cj 15048 df-re 15049 df-im 15050 df-sqrt 15184 df-abs 15185 df-topgen 17394 df-psmet 21226 df-xmet 21227 df-met 21228 df-bl 21229 df-mopn 21230 df-top 22740 df-topon 22757 df-bases 22793 df-ii 24741 |
| This theorem is referenced by: phtpyco2
24860 reparphti
24867 reparphtiOLD
24868 copco
24889 pcopt
24893 pcopt2
24894 pcoass
24895 pcorevlem
24897 pcorev2
24899 cnpconn
34738 pconnconn
34739 txpconn
34740 ptpconn
34741 sconnpi1
34747 txsconnlem
34748 cvxsconn
34751 cvmliftlem3
34795 cvmliftlem6
34798 cvmliftlem8
34800 cvmliftlem11
34803 cvmliftlem13
34804 cvmliftlem14
34805 cvmliftlem15
34806 cvmlift2lem1
34810 cvmlift2lem3
34813 cvmlift2lem5
34815 cvmlift2lem7
34817 cvmlift2lem9
34819 cvmlift2lem10
34820 cvmlift2lem11
34821 cvmlift2lem12
34822 cvmlift2lem13
34823 cvmliftphtlem
34825 cvmlift3lem1
34827 cvmlift3lem2
34828 cvmlift3lem4
34830 cvmlift3lem5
34831 cvmlift3lem6
34832 sepfsepc
47807 |
